Math

Proportion Calculator

Solve for x in the positive proportion a/b = c/x.

Exact method explained belowEditable inputs
Calculation notebook
Calculation notebook

The formula and worked example below explain the calculation.

See the method

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Your answer

Your result

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Use the Calculate button to see your result.

Review the method below for assumptions and conventions.

How to use this tool

  1. Enter a, b, c.
  2. Select Calculate to view the result.
  3. Check the method and assumptions below before using the result.

Input reference and sample values

Use the units and choices shown for each field. Sample values are provided for practice, not as recommendations.

InputFormat and unitsSample
aNumeric value. Must be greater than zero.2
bNumeric value. Must be greater than zero.3
cNumeric value. Must be greater than zero.10

Result for these sample inputs

15
Multiplier from a to c
5

Select Try the example in the form to load these values and calculate them again. This replaces the current form inputs. Compare the result with the method and worked explanation below.

The method, explained

Cross-multiply a × x = b × c, then divide by a: x = b × c ÷ a.

A WORKED EXAMPLE

For 2/3 = 10/x, x is 15. Both sides equal two-thirds.

What to keep in mind

All three inputs must be positive. This assumes direct proportionality and does not establish that real-world quantities scale linearly.

Common questions

Where is the missing value?

It is the denominator of the second fraction: c/x. Rearrange your known values accordingly.

Can this scale a recipe?

Yes, when ingredient quantities scale directly. Cooking time or temperature may not scale in the same way.

Methodology maintained by ClarityKit. How these tools are built and checked.