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Finding the Third Proportional to 221,540 and 332,228

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Solution

The third proportional to 221,540 and 332,228 is: 498,219.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,540 : 332,228 = 332,228 : x
  2. Step 2: Convert to fraction form
    221,540/332,228 = 332,228/x
  3. Step 3: Cross multiply
    221,540x = 332,228 × 332,228
  4. Step 4: Simplify right side
    221,540x = 110,375,443,984
  5. Step 5: Solve for x
    x = 110,375,443,984/221,540
  6. Step 6: Final answer
    x = 498,219.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.