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Finding the Third Proportional to 138,177 and 297,542

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Solution

The third proportional to 138,177 and 297,542 is: 640,708.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,177 : 297,542 = 297,542 : x
  2. Step 2: Convert to fraction form
    138,177/297,542 = 297,542/x
  3. Step 3: Cross multiply
    138,177x = 297,542 × 297,542
  4. Step 4: Simplify right side
    138,177x = 88,531,241,764
  5. Step 5: Solve for x
    x = 88,531,241,764/138,177
  6. Step 6: Final answer
    x = 640,708.96

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.