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Finding the Third Proportional to 192,576 and 397,422

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Solution

The third proportional to 192,576 and 397,422 is: 820,165.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,576 : 397,422 = 397,422 : x
  2. Step 2: Convert to fraction form
    192,576/397,422 = 397,422/x
  3. Step 3: Cross multiply
    192,576x = 397,422 × 397,422
  4. Step 4: Simplify right side
    192,576x = 157,944,246,084
  5. Step 5: Solve for x
    x = 157,944,246,084/192,576
  6. Step 6: Final answer
    x = 820,165.78

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.