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Finding the Third Proportional to 172,438 and 267,623

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Solution

The third proportional to 172,438 and 267,623 is: 415,349.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,438 : 267,623 = 267,623 : x
  2. Step 2: Convert to fraction form
    172,438/267,623 = 267,623/x
  3. Step 3: Cross multiply
    172,438x = 267,623 × 267,623
  4. Step 4: Simplify right side
    172,438x = 71,622,070,129
  5. Step 5: Solve for x
    x = 71,622,070,129/172,438
  6. Step 6: Final answer
    x = 415,349.69

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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.