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Rule of Three

Solve simple proportions with unknown value.

#rule of three #proportion #reason
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Tool guide

Solve simple proportions with unknown value. Useful for solving direct proportion, solving inverse proportion and scaling revenue, production or productivity.

When to use it

  • solve direct proportion: It helps to discover a proportional value when quantities grow together.
  • solve inverse proportion: It is used for scenarios in which increasing one quantity reduces the other.
  • scale revenue, production or productivity: Allows you to quickly adjust volumes and times while maintaining the correct ratio.

How to read the result

  • In the direct rule, increasing one quantity tends to increase the other by the same ratio.
  • In the inverse rule, increasing one quantity tends to reduce the other, keeping the product proportional.
  • The answer makes sense only if the quantities compared really have a proportional relationship.

Inputs that deserve attention

  • Type of relationship: Defines whether the proportion between quantities is direct or inverse. Choosing the wrong type completely reverses the logic of the result.
  • Values A, B and C: Set up the known relationship used to find the fourth proportional value. Use comparable quantities and keep the same unit in each logical column.
  • Result: Delivers the proportional value consistent with the type of relationship chosen. Validate whether the expected behavior increases or decreases before accepting the answer.

Method used

  • The calculation solves the fourth proportional value from the three terms entered.
  • The type chosen defines whether the cross multiplication follows direct or inverse proportionality.

Limits and validation

  • The tool assumes simple proportional relationship and does not cover models with extra curves, bands or constraints.
  • If the problem has more variables or non-linear behavior, the calculation may induce error.
  • The interface clearly separates the type of ratio and the three values used in the ratio.

FAQ

How to use rule of three?

Fill in the mandatory fields and the result appears automatically without having to submit a form.

Are the values approximate?

Calculations follow standard formulas and rounding to two places when applicable. Use as a simulation.

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