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Finding the Third Proportional to 138,691 and 298,449

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Solution

The third proportional to 138,691 and 298,449 is: 642,232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,691 : 298,449 = 298,449 : x
  2. Step 2: Convert to fraction form
    138,691/298,449 = 298,449/x
  3. Step 3: Cross multiply
    138,691x = 298,449 × 298,449
  4. Step 4: Simplify right side
    138,691x = 89,071,805,601
  5. Step 5: Solve for x
    x = 89,071,805,601/138,691
  6. Step 6: Final answer
    x = 642,232.05

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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.