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Finding the Third Proportional to 83,468 and 129,351

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Solution

The third proportional to 83,468 and 129,351 is: 200,456.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,468 : 129,351 = 129,351 : x
  2. Step 2: Convert to fraction form
    83,468/129,351 = 129,351/x
  3. Step 3: Cross multiply
    83,468x = 129,351 × 129,351
  4. Step 4: Simplify right side
    83,468x = 16,731,681,201
  5. Step 5: Solve for x
    x = 16,731,681,201/83,468
  6. Step 6: Final answer
    x = 200,456.24

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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.