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Finding the Third Proportional to 83,546 and 129,448

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Solution

The third proportional to 83,546 and 129,448 is: 200,569.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,546 : 129,448 = 129,448 : x
  2. Step 2: Convert to fraction form
    83,546/129,448 = 129,448/x
  3. Step 3: Cross multiply
    83,546x = 129,448 × 129,448
  4. Step 4: Simplify right side
    83,546x = 16,756,784,704
  5. Step 5: Solve for x
    x = 16,756,784,704/83,546
  6. Step 6: Final answer
    x = 200,569.56

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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.