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Finding the Third Proportional to 41,058 and 90,198

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Solution

The third proportional to 41,058 and 90,198 is: 198,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,058 : 90,198 = 90,198 : x
  2. Step 2: Convert to fraction form
    41,058/90,198 = 90,198/x
  3. Step 3: Cross multiply
    41,058x = 90,198 × 90,198
  4. Step 4: Simplify right side
    41,058x = 8,135,679,204
  5. Step 5: Solve for x
    x = 8,135,679,204/41,058
  6. Step 6: Final answer
    x = 198,150.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.