Math
Complex number modulus
Find the distance of a complex number from the origin of the complex plane.
Calculators / Math / Direct variation
Direct variation calculator
Find a directly proportional value from one known x and y pair.
On this page
Variation constant3
Target y15
Calculator controls
How to calculate
Find a directly proportional value from one known x and y pair.
Variation constant = y/x; Target y = y/x*t
Worked example
Known x: 2; Known y: 6; Target x: 5.
Variation constant: 3 ; Target y: 15 .
Assumptions and limits
Assumes y = kx with a zero intercept. Known x must be nonzero; an offset relationship requires a different model.
Results are rounded for display; calculations use unrounded values. Read our calculation methodology.
Understanding the result
Find a directly proportional value from one known x and y pair.
When this tool is useful
Variation constant = y/x; Target y = y/x*t
Understanding your inputs
| Input | What to enter |
|---|---|
| Known x | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Known y | Enter a number of at least -1000000000000 and no more than 1000000000000. |
| Target x | Enter a number of at least -1000000000000 and no more than 1000000000000. |
Frequently asked questions
What assumptions does this calculation use?
Assumes y = kx with a zero intercept. Known x must be nonzero; an offset relationship requires a different model.
How is the result calculated?
Variation constant = y/x; Target y = y/x*t