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Finding the Third Proportional to 267,904 and 408,137

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Solution

The third proportional to 267,904 and 408,137 is: 621,774.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    267,904 : 408,137 = 408,137 : x
  2. Step 2: Convert to fraction form
    267,904/408,137 = 408,137/x
  3. Step 3: Cross multiply
    267,904x = 408,137 × 408,137
  4. Step 4: Simplify right side
    267,904x = 166,575,810,769
  5. Step 5: Solve for x
    x = 166,575,810,769/267,904
  6. Step 6: Final answer
    x = 621,774.26

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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.