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Finding the Third Proportional to 71,691 and 155,957

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Solution

The third proportional to 71,691 and 155,957 is: 339,269.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,691 : 155,957 = 155,957 : x
  2. Step 2: Convert to fraction form
    71,691/155,957 = 155,957/x
  3. Step 3: Cross multiply
    71,691x = 155,957 × 155,957
  4. Step 4: Simplify right side
    71,691x = 24,322,585,849
  5. Step 5: Solve for x
    x = 24,322,585,849/71,691
  6. Step 6: Final answer
    x = 339,269.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.