1. What is an Equivalent Ratio Calculator for 3 Numbers?

Definition: This calculator finds equivalent ratios by multiplying each term in a 3-number ratio by the same multiplier.

Purpose: It helps in scaling ratios proportionally while maintaining the same relationship between numbers.

2. How Does the Calculator Work?

The calculator uses the formula:

Where:

• Equivalent — The scaled ratio (unitless)
• Original — The starting ratio (unitless)
• Multiplier — The scaling factor (unitless)

Explanation: Each term in the original ratio is multiplied by the same value to maintain proportionality.

3. Importance of Equivalent Ratios

Details: Equivalent ratios are crucial in recipes, construction mixtures, chemical solutions, and any application requiring proportional scaling.

4. Using the Calculator

Tips: Enter the three numbers of your original ratio (e.g., 1:2:3) and the multiplier. All values must be > 0.

5. Frequently Asked Questions (FAQ)

Q1: Why use equivalent ratios?
A: They allow you to scale quantities up or down while maintaining the same proportions between components.

Q2: Can I use decimals or fractions?
A: Yes, the calculator accepts decimal values for precise calculations.

Q3: What's a practical example?
A: If a concrete mix uses 1:2:3 (cement:sand:gravel), a 2x multiplier gives 2:4:6 for double the quantity.

Q4: How do I simplify ratios?
A: Divide all terms by their greatest common divisor (not included in this calculator).

Q5: Can I calculate reverse (find the multiplier)?
A: Not directly with this calculator - divide any term of the equivalent ratio by its original counterpart.