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Finding the Third Proportional to 267,902 and 408,134

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Solution

The third proportional to 267,902 and 408,134 is: 621,769.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,902 : 408,134 = 408,134 : x
  2. Step 2: Convert to fraction form
    267,902/408,134 = 408,134/x
  3. Step 3: Cross multiply
    267,902x = 408,134 × 408,134
  4. Step 4: Simplify right side
    267,902x = 166,573,361,956
  5. Step 5: Solve for x
    x = 166,573,361,956/267,902
  6. Step 6: Final answer
    x = 621,769.76

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.