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Finding the Third Proportional to 83,542 and 129,474

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Solution

The third proportional to 83,542 and 129,474 is: 200,659.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,542 : 129,474 = 129,474 : x
  2. Step 2: Convert to fraction form
    83,542/129,474 = 129,474/x
  3. Step 3: Cross multiply
    83,542x = 129,474 × 129,474
  4. Step 4: Simplify right side
    83,542x = 16,763,516,676
  5. Step 5: Solve for x
    x = 16,763,516,676/83,542
  6. Step 6: Final answer
    x = 200,659.75

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.