What Is the Proportion Calculator?
A proportion states that two ratios are equal: a/b = c/x.
How Does the Proportion Calculator Work?
Cross-multiplying gives a × x = b × c, so x = b × c / a.
Proportion Calculator Formula & Variables
The core mathematical equation utilized by this calculator is expressed as:
Cross-multiply: a × x = b × c, then solve for x.
How to Use the Proportion Calculator
- Enter the three known values (a, b, c) to solve for x.
Step-by-Step Example Calculation
3/4 = 9/x
Input Values:
a:3
b:4
c:9
Worked Steps: x = 4 × 9 / 3 = 12.
Understanding Your Result
The scale factor c/x equals the same ratio as a/b.
Factors That Affect the Result
- All four values are real numbers; a ≠ 0.
When Should You Use This Calculator?
- Recipe scaling, map distances, similar triangles, unit conversion.
Assumptions & Limitations
- Applies to direct proportions only; inverse proportions use a different formula.
Frequently Asked Questions
Calculation Accuracy & Reference Note
Standard floating-point arithmetic.