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Finding the Third Proportional to 80,800 and 176,286

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Solution

The third proportional to 80,800 and 176,286 is: 384,613.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,800 : 176,286 = 176,286 : x
  2. Step 2: Convert to fraction form
    80,800/176,286 = 176,286/x
  3. Step 3: Cross multiply
    80,800x = 176,286 × 176,286
  4. Step 4: Simplify right side
    80,800x = 31,076,753,796
  5. Step 5: Solve for x
    x = 31,076,753,796/80,800
  6. Step 6: Final answer
    x = 384,613.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.