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Finding the Third Proportional to 87,851 and 193,198

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Solution

The third proportional to 87,851 and 193,198 is: 424,872.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,851 : 193,198 = 193,198 : x
  2. Step 2: Convert to fraction form
    87,851/193,198 = 193,198/x
  3. Step 3: Cross multiply
    87,851x = 193,198 × 193,198
  4. Step 4: Simplify right side
    87,851x = 37,325,467,204
  5. Step 5: Solve for x
    x = 37,325,467,204/87,851
  6. Step 6: Final answer
    x = 424,872.42

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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.