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Finding the Third Proportional to 39,782 and 87,561

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Solution

The third proportional to 39,782 and 87,561 is: 192,723.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,782 : 87,561 = 87,561 : x
  2. Step 2: Convert to fraction form
    39,782/87,561 = 87,561/x
  3. Step 3: Cross multiply
    39,782x = 87,561 × 87,561
  4. Step 4: Simplify right side
    39,782x = 7,666,928,721
  5. Step 5: Solve for x
    x = 7,666,928,721/39,782
  6. Step 6: Final answer
    x = 192,723.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.