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Finding the Third Proportional to 122,128 and 267,872

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Solution

The third proportional to 122,128 and 267,872 is: 587,542.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,128 : 267,872 = 267,872 : x
  2. Step 2: Convert to fraction form
    122,128/267,872 = 267,872/x
  3. Step 3: Cross multiply
    122,128x = 267,872 × 267,872
  4. Step 4: Simplify right side
    122,128x = 71,755,408,384
  5. Step 5: Solve for x
    x = 71,755,408,384/122,128
  6. Step 6: Final answer
    x = 587,542.65

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.