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Finding the Third Proportional to 83,508 and 129,505

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Solution

The third proportional to 83,508 and 129,505 is: 200,837.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,508 : 129,505 = 129,505 : x
  2. Step 2: Convert to fraction form
    83,508/129,505 = 129,505/x
  3. Step 3: Cross multiply
    83,508x = 129,505 × 129,505
  4. Step 4: Simplify right side
    83,508x = 16,771,545,025
  5. Step 5: Solve for x
    x = 16,771,545,025/83,508
  6. Step 6: Final answer
    x = 200,837.58

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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.