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Finding the Third Proportional to 87,919.50 and 192,687

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Solution

The third proportional to 87,919.50 and 192,687 is: 422,298.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,919.50 : 192,687 = 192,687 : x
  2. Step 2: Convert to fraction form
    87,919.50/192,687 = 192,687/x
  3. Step 3: Cross multiply
    87,919.50x = 192,687 × 192,687
  4. Step 4: Simplify right side
    87,919.50x = 37,128,279,969
  5. Step 5: Solve for x
    x = 37,128,279,969/87,919.50
  6. Step 6: Final answer
    x = 422,298.58

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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.