Ratio Equivalent Calculator

Ratio Equivalent Calculator

function calculateEquivalentRatio() { var knownRatio1 = parseFloat(document.getElementById('knownRatio1').value); var knownRatio2 = parseFloat(document.getElementById('knownRatio2').value); var targetValue = parseFloat(document.getElementById('targetValue').value); var targetPositionFirst = document.getElementById('targetPositionFirst').checked; var targetPositionSecond = document.getElementById('targetPositionSecond').checked; var resultDiv = document.getElementById('equivalentRatioResult'); resultDiv.innerHTML = "; // Clear previous results // Input validation if (isNaN(knownRatio1) || isNaN(knownRatio2) || isNaN(targetValue)) { resultDiv.innerHTML = 'Please enter valid numbers for all ratio parts and the target value.'; return; } if (knownRatio1 === 0 || knownRatio2 === 0) { resultDiv.innerHTML = 'Known ratio parts cannot be zero for calculation.'; return; } if (targetValue === 0) { resultDiv.innerHTML = 'Target value cannot be zero if you expect a non-zero equivalent ratio.'; return; } var calculatedPart1; var calculatedPart2; if (targetPositionFirst) { // TargetValue is the new first part (targetValue : ?) // knownRatio1 : knownRatio2 = targetValue : calculatedPart2 // calculatedPart2 = (knownRatio2 * targetValue) / knownRatio1 calculatedPart1 = targetValue; calculatedPart2 = (knownRatio2 * targetValue) / knownRatio1; } else if (targetPositionSecond) { // TargetValue is the new second part (? : targetValue) // knownRatio1 : knownRatio2 = calculatedPart1 : targetValue // calculatedPart1 = (knownRatio1 * targetValue) / knownRatio2 calculatedPart2 = targetValue; calculatedPart1 = (knownRatio1 * targetValue) / knownRatio2; } else { resultDiv.innerHTML = 'Please select whether the target value corresponds to the first or second part of the equivalent ratio.'; return; } resultDiv.innerHTML = 'The equivalent ratio is: ' + calculatedPart1.toFixed(4) + ' : ' + calculatedPart2.toFixed(4) + ''; }

Understanding Equivalent Ratios

A ratio is a way to compare two or more quantities. For example, if a recipe calls for 2 cups of flour to 3 cups of sugar, the ratio of flour to sugar is 2:3. An equivalent ratio is a ratio that expresses the same relationship between quantities but uses different numbers. You can find equivalent ratios by multiplying or dividing both parts of the ratio by the same non-zero number.

The concept of equivalent ratios is fundamental in many areas, from cooking and chemistry to engineering and finance. It allows us to scale quantities up or down while maintaining the proportional relationship between them.

How to Use the Ratio Equivalent Calculator

1. Enter Known Ratio Part 1: Input the first number of your original ratio.
2. Enter Known Ratio Part 2: Input the second number of your original ratio.
3. Enter Target Value: Provide the new value for one part of the equivalent ratio you want to find.
4. Select Target Position: Choose whether your target value corresponds to the first or second part of the equivalent ratio.
5. Click "Calculate Equivalent Ratio": The calculator will instantly display the complete equivalent ratio.

Practical Examples of Equivalent Ratios

Example 1: Scaling a Recipe
Imagine a recipe requires a spice mix with a ratio of 2 parts cumin to 3 parts coriander (2:3). If you want to make a larger batch and use 10 tablespoons of cumin, how much coriander do you need?

• Known Ratio Part 1: 2 (cumin)
• Known Ratio Part 2: 3 (coriander)
• Target Value: 10 (for cumin)
• Target Value Corresponds to: First Part

Using the calculator, you would find that you need 15 tablespoons of coriander. The equivalent ratio is 10:15.

Example 2: Mixing Chemicals
A chemical solution requires a concentrate to water ratio of 1:5. If you need to prepare a solution that contains 25 liters of water, how much concentrate should you use?

• Known Ratio Part 1: 1 (concentrate)
• Known Ratio Part 2: 5 (water)
• Target Value: 25 (for water)
• Target Value Corresponds to: Second Part

The calculator would show that you need 5 liters of concentrate. The equivalent ratio is 5:25.

Example 3: Map Scales
A map has a scale where 1 unit on the map represents 10000 units in reality (1:10000). If a distance on the map measures 3.5 cm, what is the actual distance?

• Known Ratio Part 1: 1 (map unit)
• Known Ratio Part 2: 10000 (real unit)
• Target Value: 3.5 (for map unit)
• Target Value Corresponds to: First Part

The calculator would give you 35000. The equivalent ratio is 3.5:35000, meaning 3.5 cm on the map represents 35000 cm (or 350 meters) in reality.