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Finding the Third Proportional to 177,385 and 267,920

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Solution

The third proportional to 177,385 and 267,920 is: 404,662.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,385 : 267,920 = 267,920 : x
  2. Step 2: Convert to fraction form
    177,385/267,920 = 267,920/x
  3. Step 3: Cross multiply
    177,385x = 267,920 × 267,920
  4. Step 4: Simplify right side
    177,385x = 71,781,126,400
  5. Step 5: Solve for x
    x = 71,781,126,400/177,385
  6. Step 6: Final answer
    x = 404,662.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.