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Finding the Third Proportional to 177,687 and 392,742

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Solution

The third proportional to 177,687 and 392,742 is: 868,078.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,687 : 392,742 = 392,742 : x
  2. Step 2: Convert to fraction form
    177,687/392,742 = 392,742/x
  3. Step 3: Cross multiply
    177,687x = 392,742 × 392,742
  4. Step 4: Simplify right side
    177,687x = 154,246,278,564
  5. Step 5: Solve for x
    x = 154,246,278,564/177,687
  6. Step 6: Final answer
    x = 868,078.58

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.