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Finding the Third Proportional to 172,384 and 267,864

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Solution

The third proportional to 172,384 and 267,864 is: 416,228.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,384 : 267,864 = 267,864 : x
  2. Step 2: Convert to fraction form
    172,384/267,864 = 267,864/x
  3. Step 3: Cross multiply
    172,384x = 267,864 × 267,864
  4. Step 4: Simplify right side
    172,384x = 71,751,122,496
  5. Step 5: Solve for x
    x = 71,751,122,496/172,384
  6. Step 6: Final answer
    x = 416,228.43

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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.