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Finding the Third Proportional to 138,067 and 284,941

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Solution

The third proportional to 138,067 and 284,941 is: 588,057.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,067 : 284,941 = 284,941 : x
  2. Step 2: Convert to fraction form
    138,067/284,941 = 284,941/x
  3. Step 3: Cross multiply
    138,067x = 284,941 × 284,941
  4. Step 4: Simplify right side
    138,067x = 81,191,373,481
  5. Step 5: Solve for x
    x = 81,191,373,481/138,067
  6. Step 6: Final answer
    x = 588,057.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.