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Finding the Third Proportional to 137,912 and 284,452

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Solution

The third proportional to 137,912 and 284,452 is: 586,699.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,912 : 284,452 = 284,452 : x
  2. Step 2: Convert to fraction form
    137,912/284,452 = 284,452/x
  3. Step 3: Cross multiply
    137,912x = 284,452 × 284,452
  4. Step 4: Simplify right side
    137,912x = 80,912,940,304
  5. Step 5: Solve for x
    x = 80,912,940,304/137,912
  6. Step 6: Final answer
    x = 586,699.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.