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Finding the Third Proportional to 81,539 and 129,720

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Solution

The third proportional to 81,539 and 129,720 is: 206,370.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,539 : 129,720 = 129,720 : x
  2. Step 2: Convert to fraction form
    81,539/129,720 = 129,720/x
  3. Step 3: Cross multiply
    81,539x = 129,720 × 129,720
  4. Step 4: Simplify right side
    81,539x = 16,827,278,400
  5. Step 5: Solve for x
    x = 16,827,278,400/81,539
  6. Step 6: Final answer
    x = 206,370.92

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.