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Finding the Third Proportional to 90,471 and 192,965

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Solution

The third proportional to 90,471 and 192,965 is: 411,573.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,471 : 192,965 = 192,965 : x
  2. Step 2: Convert to fraction form
    90,471/192,965 = 192,965/x
  3. Step 3: Cross multiply
    90,471x = 192,965 × 192,965
  4. Step 4: Simplify right side
    90,471x = 37,235,491,225
  5. Step 5: Solve for x
    x = 37,235,491,225/90,471
  6. Step 6: Final answer
    x = 411,573.78

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.