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Finding the Third Proportional to 78,147 and 171,198

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Solution

The third proportional to 78,147 and 171,198 is: 375,046.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,147 : 171,198 = 171,198 : x
  2. Step 2: Convert to fraction form
    78,147/171,198 = 171,198/x
  3. Step 3: Cross multiply
    78,147x = 171,198 × 171,198
  4. Step 4: Simplify right side
    78,147x = 29,308,755,204
  5. Step 5: Solve for x
    x = 29,308,755,204/78,147
  6. Step 6: Final answer
    x = 375,046.45

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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.