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Finding the Third Proportional to 281,366 and 664,199

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Solution

The third proportional to 281,366 and 664,199 is: 1,567,923.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    281,366 : 664,199 = 664,199 : x
  2. Step 2: Convert to fraction form
    281,366/664,199 = 664,199/x
  3. Step 3: Cross multiply
    281,366x = 664,199 × 664,199
  4. Step 4: Simplify right side
    281,366x = 441,160,311,601
  5. Step 5: Solve for x
    x = 441,160,311,601/281,366
  6. Step 6: Final answer
    x = 1,567,923.32

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.