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Finding the Third Proportional to 129,483 and 267,957

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Solution

The third proportional to 129,483 and 267,957 is: 554,520.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,483 : 267,957 = 267,957 : x
  2. Step 2: Convert to fraction form
    129,483/267,957 = 267,957/x
  3. Step 3: Cross multiply
    129,483x = 267,957 × 267,957
  4. Step 4: Simplify right side
    129,483x = 71,800,953,849
  5. Step 5: Solve for x
    x = 71,800,953,849/129,483
  6. Step 6: Final answer
    x = 554,520.31

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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.