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Finding the Third Proportional to 80,571 and 177,229

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Solution

The third proportional to 80,571 and 177,229 is: 389,843.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,571 : 177,229 = 177,229 : x
  2. Step 2: Convert to fraction form
    80,571/177,229 = 177,229/x
  3. Step 3: Cross multiply
    80,571x = 177,229 × 177,229
  4. Step 4: Simplify right side
    80,571x = 31,410,118,441
  5. Step 5: Solve for x
    x = 31,410,118,441/80,571
  6. Step 6: Final answer
    x = 389,843.97

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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.