Home / 502.13-588.38

Finding the Third Proportional to 502.13 and 588.38

Calculator

Solution

The third proportional to 502.13 and 588.38 is: 689.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    502.13 : 588.38 = 588.38 : x
  2. Step 2: Convert to fraction form
    502.13/588.38 = 588.38/x
  3. Step 3: Cross multiply
    502.13x = 588.38 × 588.38
  4. Step 4: Simplify right side
    502.13x = 346,185.14
  5. Step 5: Solve for x
    x = 346,185.14/502.13
  6. Step 6: Final answer
    x = 689.44

Related Problems

Find third proportional to 251.06 and 294.19
Half scale
Find third proportional to 1,004.25 and 1,176.75
Double scale
Find third proportional to 504 and 591
Similar ratio
Find third proportional to 753.19 and 882.56
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.