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Finding the Third Proportional to 83,449 and 129,132

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Solution

The third proportional to 83,449 and 129,132 is: 199,823.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,449 : 129,132 = 129,132 : x
  2. Step 2: Convert to fraction form
    83,449/129,132 = 129,132/x
  3. Step 3: Cross multiply
    83,449x = 129,132 × 129,132
  4. Step 4: Simplify right side
    83,449x = 16,675,073,424
  5. Step 5: Solve for x
    x = 16,675,073,424/83,449
  6. Step 6: Final answer
    x = 199,823.53

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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.