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Finding the Third Proportional to 150,807 and 331,422

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Solution

The third proportional to 150,807 and 331,422 is: 728,351.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,807 : 331,422 = 331,422 : x
  2. Step 2: Convert to fraction form
    150,807/331,422 = 331,422/x
  3. Step 3: Cross multiply
    150,807x = 331,422 × 331,422
  4. Step 4: Simplify right side
    150,807x = 109,840,542,084
  5. Step 5: Solve for x
    x = 109,840,542,084/150,807
  6. Step 6: Final answer
    x = 728,351.75

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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.