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Finding the Third Proportional to 222,969 and 490,218

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Solution

The third proportional to 222,969 and 490,218 is: 1,077,789.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,969 : 490,218 = 490,218 : x
  2. Step 2: Convert to fraction form
    222,969/490,218 = 490,218/x
  3. Step 3: Cross multiply
    222,969x = 490,218 × 490,218
  4. Step 4: Simplify right side
    222,969x = 240,313,687,524
  5. Step 5: Solve for x
    x = 240,313,687,524/222,969
  6. Step 6: Final answer
    x = 1,077,789.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.