Ratio Scale Calculator
Multiply both terms of a ratio by the same nonzero factor.
How to use Ratio Scale Calculator
1. Enter First Ratio Value, Second Ratio Value, Scale Factor in the stated order. 2. Follow nonzero denominator and whole-number requirements where they apply. Keep corresponding quantities on the same unit scale. 3. Select Calculate or press Enter to see scaled ratio. 4. Copy result copies the output; Reset clears the inputs and answer.
Why use this tool?
Resize a ratio’s terms without changing their quotient when the second term is nonzero.
How the calculation works
Scaled ratio = (first term × factor):(second term × factor). A zero factor or original 0:0 pair is rejected. Numeric outputs use browser floating-point arithmetic, with four decimal places at most. Smaller nonzero outputs use six significant digits in scientific notation. Unrepresentable intermediate values or numeric outputs beyond the supported magnitude are rejected. Numeric input magnitudes, including each fraction or ratio component, must not exceed 9,007,199,254,740,991. Mathematical references: https://openstax.org/books/prealgebra-2e/pages/4-key-concepts and https://openstax.org/books/prealgebra-2e/pages/6-5-solve-proportions-and-their-applications.
Example
First Ratio Value = 2, Second Ratio Value = 3 and Scale Factor = 5 give 10:15.
Practical tip
The displayed terms are rounded to at most four decimal places. Keep original terms for an exact comparison after scaling.
Frequently asked questions
Why is a zero scale factor rejected?
It turns both terms into 0:0, which does not preserve a defined ratio. A nonzero factor is required.
Do signed inputs always have a practical interpretation?
These forms perform the stated arithmetic. Negative values, rates above 100% or a negative baseline can be mathematically valid while being unsuitable for a particular real-world quantity. Check the task and model before applying the result.
Does the tool choose units or round my input first?
Enter corresponding measurements in matching units; the maths forms do not convert units automatically. Exact fraction and ratio text is kept for integer arithmetic. Other numeric operations use browser floating-point values and the display precision stated above.