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Finding the Third Proportional to 172,422 and 267,599

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Solution

The third proportional to 172,422 and 267,599 is: 415,313.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,422 : 267,599 = 267,599 : x
  2. Step 2: Convert to fraction form
    172,422/267,599 = 267,599/x
  3. Step 3: Cross multiply
    172,422x = 267,599 × 267,599
  4. Step 4: Simplify right side
    172,422x = 71,609,224,801
  5. Step 5: Solve for x
    x = 71,609,224,801/172,422
  6. Step 6: Final answer
    x = 415,313.73

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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.