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Finding the Third Proportional to 381,167 and 561,192

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Solution

The third proportional to 381,167 and 561,192 is: 826,242.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,167 : 561,192 = 561,192 : x
  2. Step 2: Convert to fraction form
    381,167/561,192 = 561,192/x
  3. Step 3: Cross multiply
    381,167x = 561,192 × 561,192
  4. Step 4: Simplify right side
    381,167x = 314,936,460,864
  5. Step 5: Solve for x
    x = 314,936,460,864/381,167
  6. Step 6: Final answer
    x = 826,242.73

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.