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Finding the Third Proportional to 138,801 and 292,098

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Solution

The third proportional to 138,801 and 292,098 is: 614,701.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,801 : 292,098 = 292,098 : x
  2. Step 2: Convert to fraction form
    138,801/292,098 = 292,098/x
  3. Step 3: Cross multiply
    138,801x = 292,098 × 292,098
  4. Step 4: Simplify right side
    138,801x = 85,321,241,604
  5. Step 5: Solve for x
    x = 85,321,241,604/138,801
  6. Step 6: Final answer
    x = 614,701.92

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.