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Finding the Third Proportional to 138,755 and 298,591

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Solution

The third proportional to 138,755 and 298,591 is: 642,546.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,755 : 298,591 = 298,591 : x
  2. Step 2: Convert to fraction form
    138,755/298,591 = 298,591/x
  3. Step 3: Cross multiply
    138,755x = 298,591 × 298,591
  4. Step 4: Simplify right side
    138,755x = 89,156,585,281
  5. Step 5: Solve for x
    x = 89,156,585,281/138,755
  6. Step 6: Final answer
    x = 642,546.83

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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.