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Finding the Third Proportional to 80,491 and 176,918

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Solution

The third proportional to 80,491 and 176,918 is: 388,863.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,491 : 176,918 = 176,918 : x
  2. Step 2: Convert to fraction form
    80,491/176,918 = 176,918/x
  3. Step 3: Cross multiply
    80,491x = 176,918 × 176,918
  4. Step 4: Simplify right side
    80,491x = 31,299,978,724
  5. Step 5: Solve for x
    x = 31,299,978,724/80,491
  6. Step 6: Final answer
    x = 388,863.09

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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.