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Finding the Third Proportional to 80,464 and 176,777

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Solution

The third proportional to 80,464 and 176,777 is: 388,373.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,464 : 176,777 = 176,777 : x
  2. Step 2: Convert to fraction form
    80,464/176,777 = 176,777/x
  3. Step 3: Cross multiply
    80,464x = 176,777 × 176,777
  4. Step 4: Simplify right side
    80,464x = 31,250,107,729
  5. Step 5: Solve for x
    x = 31,250,107,729/80,464
  6. Step 6: Final answer
    x = 388,373.78

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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.