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Finding the Third Proportional to 221,319 and 332,199

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Solution

The third proportional to 221,319 and 332,199 is: 498,629.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    221,319 : 332,199 = 332,199 : x
  2. Step 2: Convert to fraction form
    221,319/332,199 = 332,199/x
  3. Step 3: Cross multiply
    221,319x = 332,199 × 332,199
  4. Step 4: Simplify right side
    221,319x = 110,356,175,601
  5. Step 5: Solve for x
    x = 110,356,175,601/221,319
  6. Step 6: Final answer
    x = 498,629.47

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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.