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Finding the Third Proportional to 80,399 and 174,638

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Solution

The third proportional to 80,399 and 174,638 is: 379,338.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    80,399 : 174,638 = 174,638 : x
  2. Step 2: Convert to fraction form
    80,399/174,638 = 174,638/x
  3. Step 3: Cross multiply
    80,399x = 174,638 × 174,638
  4. Step 4: Simplify right side
    80,399x = 30,498,431,044
  5. Step 5: Solve for x
    x = 30,498,431,044/80,399
  6. Step 6: Final answer
    x = 379,338.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.