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Finding the Third Proportional to 177,429 and 267,987

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Solution

The third proportional to 177,429 and 267,987 is: 404,764.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,429 : 267,987 = 267,987 : x
  2. Step 2: Convert to fraction form
    177,429/267,987 = 267,987/x
  3. Step 3: Cross multiply
    177,429x = 267,987 × 267,987
  4. Step 4: Simplify right side
    177,429x = 71,817,032,169
  5. Step 5: Solve for x
    x = 71,817,032,169/177,429
  6. Step 6: Final answer
    x = 404,764.90

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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.