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Finding the Third Proportional to 274,366 and 391,591

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Solution

The third proportional to 274,366 and 391,591 is: 558,901.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    274,366 : 391,591 = 391,591 : x
  2. Step 2: Convert to fraction form
    274,366/391,591 = 391,591/x
  3. Step 3: Cross multiply
    274,366x = 391,591 × 391,591
  4. Step 4: Simplify right side
    274,366x = 153,343,511,281
  5. Step 5: Solve for x
    x = 153,343,511,281/274,366
  6. Step 6: Final answer
    x = 558,901.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.