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Finding the Third Proportional to 80,769 and 177,819

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Solution

The third proportional to 80,769 and 177,819 is: 391,481.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,769 : 177,819 = 177,819 : x
  2. Step 2: Convert to fraction form
    80,769/177,819 = 177,819/x
  3. Step 3: Cross multiply
    80,769x = 177,819 × 177,819
  4. Step 4: Simplify right side
    80,769x = 31,619,596,761
  5. Step 5: Solve for x
    x = 31,619,596,761/80,769
  6. Step 6: Final answer
    x = 391,481.84

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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.