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Finding the Third Proportional to 218,941 and 471,645

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Solution

The third proportional to 218,941 and 471,645 is: 1,016,022.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,941 : 471,645 = 471,645 : x
  2. Step 2: Convert to fraction form
    218,941/471,645 = 471,645/x
  3. Step 3: Cross multiply
    218,941x = 471,645 × 471,645
  4. Step 4: Simplify right side
    218,941x = 222,449,006,025
  5. Step 5: Solve for x
    x = 222,449,006,025/218,941
  6. Step 6: Final answer
    x = 1,016,022.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.