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Finding the Third Proportional to 178,304 and 391,744

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Solution

The third proportional to 178,304 and 391,744 is: 860,683.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,304 : 391,744 = 391,744 : x
  2. Step 2: Convert to fraction form
    178,304/391,744 = 391,744/x
  3. Step 3: Cross multiply
    178,304x = 391,744 × 391,744
  4. Step 4: Simplify right side
    178,304x = 153,463,361,536
  5. Step 5: Solve for x
    x = 153,463,361,536/178,304
  6. Step 6: Final answer
    x = 860,683.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.