Proportions Calculator

The first term: a in the proportion a/b = c/x, or the first part of the ratio a : b.
The second term: b in the proportion a/b = c/x, or the second part of the ratio a : b.
The third term: c in the proportion a/b = c/x. Leave it blank in ratio mode to just simplify a : b.
Answer
6
Direct and Inverse Variation Calculator
Constant of variation k
2
x in the second situation
3
y in the second situation
6
Equation of variation
y = 2x
What the relationship means
The two ratios are equal, so the cross products are equal: a · x = b · c.
The completed statement
1 / 2 = 3 / 6
Worked out from OpenStax, College Algebra 2e §5.8 "Modeling Using Variation" — direct variation y = kx^n, inverse variation y = k/x^n and joint variation.

How this is worked out

4 steps
  1. Write the proportion: 1 / 2 = c / x
  2. Cross multiply: 1 · x = 2 · c, so x = 2 · c / 1
  3. Substitute x = 3: y = 2 x 3^1 = 6
  4. Completed proportion: 1 / 2 = 3 / 6

Results are general information, not financial, tax, legal, medical or engineering advice.