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Finding the Third Proportional to 87,709 and 192,112

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Solution

The third proportional to 87,709 and 192,112 is: 420,789.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,709 : 192,112 = 192,112 : x
  2. Step 2: Convert to fraction form
    87,709/192,112 = 192,112/x
  3. Step 3: Cross multiply
    87,709x = 192,112 × 192,112
  4. Step 4: Simplify right side
    87,709x = 36,907,020,544
  5. Step 5: Solve for x
    x = 36,907,020,544/87,709
  6. Step 6: Final answer
    x = 420,789.43

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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.