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Proportion Calculator

Proportion calculator

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

InputsForm3 fieldsLive

Result

x = 17.5

Using x = (b × c) / a.

Live update
Formula
If a / b = c / x then x = (b x c) / a
  • Start with proportion a/b = c/x.
  • Cross multiply to isolate x.
  • Compute x as (b x c) / a.
Example

Worked example: 4/7 = 10/x

  1. 1 x = (7 x 10) / 4
  2. 2 x = 70/4
  3. 3 x = 17.5

The unknown value x is 17.5.

How
  1. Enter values for a, b, and c.
  2. Keep a non-zero.
  3. Read solved x instantly.
Avoid
  • Setting a to zero which causes division by zero.
  • Swapping b and c during cross multiplication.
  • Forgetting that order of terms matters in proportion equations.
Checks

Best fit

Proportion Calculator is built for solve unknown x in a proportion equation using direct cross multiplication. If Proportion Calculator does not match the input scope, compare the answer with a second method.

Input check

Match the entered values to this rule before copying the answer: If a / b = c / x then x = (b x c) / a.

Sanity check

For Proportion Calculator, use the worked example as a quick benchmark: The unknown value x is 17.5. If the proportion calculator answer is far away, check whether an input, unit, or mode changed.

Before copying

Review this common issue first: setting a to zero which causes division by zero.

FAQ
Can I use decimal numbers?

Yes, decimal inputs are supported.

Why does a need to be non-zero?

The solved expression divides by a, so a cannot be zero.

Is this for inverse proportion?

No, this calculator is for direct proportion in the stated equation form.

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