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Finding the Third Proportional to 221,375 and 332,110

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Solution

The third proportional to 221,375 and 332,110 is: 498,236.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,375 : 332,110 = 332,110 : x
  2. Step 2: Convert to fraction form
    221,375/332,110 = 332,110/x
  3. Step 3: Cross multiply
    221,375x = 332,110 × 332,110
  4. Step 4: Simplify right side
    221,375x = 110,297,052,100
  5. Step 5: Solve for x
    x = 110,297,052,100/221,375
  6. Step 6: Final answer
    x = 498,236.26

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