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Finding the Third Proportional to 142,839 and 272,718

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Solution

The third proportional to 142,839 and 272,718 is: 520,691.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,839 : 272,718 = 272,718 : x
  2. Step 2: Convert to fraction form
    142,839/272,718 = 272,718/x
  3. Step 3: Cross multiply
    142,839x = 272,718 × 272,718
  4. Step 4: Simplify right side
    142,839x = 74,375,107,524
  5. Step 5: Solve for x
    x = 74,375,107,524/142,839
  6. Step 6: Final answer
    x = 520,691.88

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.