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Finding the Third Proportional to 41,192 and 62,578

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Solution

The third proportional to 41,192 and 62,578 is: 95,067.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,192 : 62,578 = 62,578 : x
  2. Step 2: Convert to fraction form
    41,192/62,578 = 62,578/x
  3. Step 3: Cross multiply
    41,192x = 62,578 × 62,578
  4. Step 4: Simplify right side
    41,192x = 3,916,006,084
  5. Step 5: Solve for x
    x = 3,916,006,084/41,192
  6. Step 6: Final answer
    x = 95,067.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.