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Finding the Third Proportional to 80,739 and 176,868

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Solution

The third proportional to 80,739 and 176,868 is: 387,449.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,739 : 176,868 = 176,868 : x
  2. Step 2: Convert to fraction form
    80,739/176,868 = 176,868/x
  3. Step 3: Cross multiply
    80,739x = 176,868 × 176,868
  4. Step 4: Simplify right side
    80,739x = 31,282,289,424
  5. Step 5: Solve for x
    x = 31,282,289,424/80,739
  6. Step 6: Final answer
    x = 387,449.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.