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Finding the Third Proportional to 172,440 and 267,626

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Solution

The third proportional to 172,440 and 267,626 is: 415,354.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,440 : 267,626 = 267,626 : x
  2. Step 2: Convert to fraction form
    172,440/267,626 = 267,626/x
  3. Step 3: Cross multiply
    172,440x = 267,626 × 267,626
  4. Step 4: Simplify right side
    172,440x = 71,623,675,876
  5. Step 5: Solve for x
    x = 71,623,675,876/172,440
  6. Step 6: Final answer
    x = 415,354.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.