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Finding the Third Proportional to 87,910.50 and 193,749

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Solution

The third proportional to 87,910.50 and 193,749 is: 427,010.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,910.50 : 193,749 = 193,749 : x
  2. Step 2: Convert to fraction form
    87,910.50/193,749 = 193,749/x
  3. Step 3: Cross multiply
    87,910.50x = 193,749 × 193,749
  4. Step 4: Simplify right side
    87,910.50x = 37,538,675,001
  5. Step 5: Solve for x
    x = 37,538,675,001/87,910.50
  6. Step 6: Final answer
    x = 427,010.14

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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.