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Finding the Third Proportional to 81,661.50 and 192,135

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Solution

The third proportional to 81,661.50 and 192,135 is: 452,059.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,661.50 : 192,135 = 192,135 : x
  2. Step 2: Convert to fraction form
    81,661.50/192,135 = 192,135/x
  3. Step 3: Cross multiply
    81,661.50x = 192,135 × 192,135
  4. Step 4: Simplify right side
    81,661.50x = 36,915,858,225
  5. Step 5: Solve for x
    x = 36,915,858,225/81,661.50
  6. Step 6: Final answer
    x = 452,059.52

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.