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Finding the Third Proportional to 41,800 and 90,512

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Solution

The third proportional to 41,800 and 90,512 is: 195,990.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,800 : 90,512 = 90,512 : x
  2. Step 2: Convert to fraction form
    41,800/90,512 = 90,512/x
  3. Step 3: Cross multiply
    41,800x = 90,512 × 90,512
  4. Step 4: Simplify right side
    41,800x = 8,192,422,144
  5. Step 5: Solve for x
    x = 8,192,422,144/41,800
  6. Step 6: Final answer
    x = 195,990.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.