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Finding the Third Proportional to 177,420 and 267,972

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Solution

The third proportional to 177,420 and 267,972 is: 404,740.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,420 : 267,972 = 267,972 : x
  2. Step 2: Convert to fraction form
    177,420/267,972 = 267,972/x
  3. Step 3: Cross multiply
    177,420x = 267,972 × 267,972
  4. Step 4: Simplify right side
    177,420x = 71,808,992,784
  5. Step 5: Solve for x
    x = 71,808,992,784/177,420
  6. Step 6: Final answer
    x = 404,740.12

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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.