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Finding the Third Proportional to 221,328 and 332,154

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Solution

The third proportional to 221,328 and 332,154 is: 498,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,328 : 332,154 = 332,154 : x
  2. Step 2: Convert to fraction form
    221,328/332,154 = 332,154/x
  3. Step 3: Cross multiply
    221,328x = 332,154 × 332,154
  4. Step 4: Simplify right side
    221,328x = 110,326,279,716
  5. Step 5: Solve for x
    x = 110,326,279,716/221,328
  6. Step 6: Final answer
    x = 498,474.12

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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.