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Finding the Third Proportional to 59,909 and 90,957

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Solution

The third proportional to 59,909 and 90,957 is: 138,095.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,909 : 90,957 = 90,957 : x
  2. Step 2: Convert to fraction form
    59,909/90,957 = 90,957/x
  3. Step 3: Cross multiply
    59,909x = 90,957 × 90,957
  4. Step 4: Simplify right side
    59,909x = 8,273,175,849
  5. Step 5: Solve for x
    x = 8,273,175,849/59,909
  6. Step 6: Final answer
    x = 138,095.71

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.