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Finding the Third Proportional to 151,228 and 331,400

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Solution

The third proportional to 151,228 and 331,400 is: 726,227.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,228 : 331,400 = 331,400 : x
  2. Step 2: Convert to fraction form
    151,228/331,400 = 331,400/x
  3. Step 3: Cross multiply
    151,228x = 331,400 × 331,400
  4. Step 4: Simplify right side
    151,228x = 109,825,960,000
  5. Step 5: Solve for x
    x = 109,825,960,000/151,228
  6. Step 6: Final answer
    x = 726,227.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.