Home / 613-906

Finding the Third Proportional to 613 and 906

Calculator

Solution

The third proportional to 613 and 906 is: 1,339.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    613 : 906 = 906 : x
  2. Step 2: Convert to fraction form
    613/906 = 906/x
  3. Step 3: Cross multiply
    613x = 906 × 906
  4. Step 4: Simplify right side
    613x = 820,836
  5. Step 5: Solve for x
    x = 820,836/613
  6. Step 6: Final answer
    x = 1,339.05

Related Problems

Find third proportional to 306.50 and 453
Half scale
Find third proportional to 1,226 and 1,812
Double scale
Find third proportional to 615 and 909
Similar ratio
Find third proportional to 919.50 and 1,359
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.