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Finding the Third Proportional to 129,721.50 and 203,067

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Solution

The third proportional to 129,721.50 and 203,067 is: 317,882.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,721.50 : 203,067 = 203,067 : x
  2. Step 2: Convert to fraction form
    129,721.50/203,067 = 203,067/x
  3. Step 3: Cross multiply
    129,721.50x = 203,067 × 203,067
  4. Step 4: Simplify right side
    129,721.50x = 41,236,206,489
  5. Step 5: Solve for x
    x = 41,236,206,489/129,721.50
  6. Step 6: Final answer
    x = 317,882.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.