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Finding the Third Proportional to 80,443 and 176,747

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Solution

The third proportional to 80,443 and 176,747 is: 388,343.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,443 : 176,747 = 176,747 : x
  2. Step 2: Convert to fraction form
    80,443/176,747 = 176,747/x
  3. Step 3: Cross multiply
    80,443x = 176,747 × 176,747
  4. Step 4: Simplify right side
    80,443x = 31,239,502,009
  5. Step 5: Solve for x
    x = 31,239,502,009/80,443
  6. Step 6: Final answer
    x = 388,343.32

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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.