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Finding the Third Proportional to 81,624 and 179,286

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Solution

The third proportional to 81,624 and 179,286 is: 393,799.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,624 : 179,286 = 179,286 : x
  2. Step 2: Convert to fraction form
    81,624/179,286 = 179,286/x
  3. Step 3: Cross multiply
    81,624x = 179,286 × 179,286
  4. Step 4: Simplify right side
    81,624x = 32,143,469,796
  5. Step 5: Solve for x
    x = 32,143,469,796/81,624
  6. Step 6: Final answer
    x = 393,799.25

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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.