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Finding the Third Proportional to 221,366 and 332,211

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Solution

The third proportional to 221,366 and 332,211 is: 498,559.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,366 : 332,211 = 332,211 : x
  2. Step 2: Convert to fraction form
    221,366/332,211 = 332,211/x
  3. Step 3: Cross multiply
    221,366x = 332,211 × 332,211
  4. Step 4: Simplify right side
    221,366x = 110,364,148,521
  5. Step 5: Solve for x
    x = 110,364,148,521/221,366
  6. Step 6: Final answer
    x = 498,559.62

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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.