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Finding the Third Proportional to 87,720.75 and 206,939.25

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Solution

The third proportional to 87,720.75 and 206,939.25 is: 488,183.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,720.75 : 206,939.25 = 206,939.25 : x
  2. Step 2: Convert to fraction form
    87,720.75/206,939.25 = 206,939.25/x
  3. Step 3: Cross multiply
    87,720.75x = 206,939.25 × 206,939.25
  4. Step 4: Simplify right side
    87,720.75x = 42,823,853,190.56
  5. Step 5: Solve for x
    x = 42,823,853,190.56/87,720.75
  6. Step 6: Final answer
    x = 488,183.85

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.