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Finding the Third Proportional to 38,909 and 75,874

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Solution

The third proportional to 38,909 and 75,874 is: 147,957.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,909 : 75,874 = 75,874 : x
  2. Step 2: Convert to fraction form
    38,909/75,874 = 75,874/x
  3. Step 3: Cross multiply
    38,909x = 75,874 × 75,874
  4. Step 4: Simplify right side
    38,909x = 5,756,863,876
  5. Step 5: Solve for x
    x = 5,756,863,876/38,909
  6. Step 6: Final answer
    x = 147,957.13

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.