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Finding the Third Proportional to 129,481 and 267,952

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Solution

The third proportional to 129,481 and 267,952 is: 554,508.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,481 : 267,952 = 267,952 : x
  2. Step 2: Convert to fraction form
    129,481/267,952 = 267,952/x
  3. Step 3: Cross multiply
    129,481x = 267,952 × 267,952
  4. Step 4: Simplify right side
    129,481x = 71,798,274,304
  5. Step 5: Solve for x
    x = 71,798,274,304/129,481
  6. Step 6: Final answer
    x = 554,508.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.