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Finding the Third Proportional to 128,992 and 267,098

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Solution

The third proportional to 128,992 and 267,098 is: 553,067.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,992 : 267,098 = 267,098 : x
  2. Step 2: Convert to fraction form
    128,992/267,098 = 267,098/x
  3. Step 3: Cross multiply
    128,992x = 267,098 × 267,098
  4. Step 4: Simplify right side
    128,992x = 71,341,341,604
  5. Step 5: Solve for x
    x = 71,341,341,604/128,992
  6. Step 6: Final answer
    x = 553,067.95

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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.