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Finding the Third Proportional to 172,414 and 267,588

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Solution

The third proportional to 172,414 and 267,588 is: 415,298.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,414 : 267,588 = 267,588 : x
  2. Step 2: Convert to fraction form
    172,414/267,588 = 267,588/x
  3. Step 3: Cross multiply
    172,414x = 267,588 × 267,588
  4. Step 4: Simplify right side
    172,414x = 71,603,337,744
  5. Step 5: Solve for x
    x = 71,603,337,744/172,414
  6. Step 6: Final answer
    x = 415,298.86

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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.