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Finding the Third Proportional to 83,538 and 129,549

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Solution

The third proportional to 83,538 and 129,549 is: 200,901.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,538 : 129,549 = 129,549 : x
  2. Step 2: Convert to fraction form
    83,538/129,549 = 129,549/x
  3. Step 3: Cross multiply
    83,538x = 129,549 × 129,549
  4. Step 4: Simplify right side
    83,538x = 16,782,943,401
  5. Step 5: Solve for x
    x = 16,782,943,401/83,538
  6. Step 6: Final answer
    x = 200,901.91

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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.