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Finding the Third Proportional to 223,110 and 490,698

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Solution

The third proportional to 223,110 and 490,698 is: 1,079,218.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,110 : 490,698 = 490,698 : x
  2. Step 2: Convert to fraction form
    223,110/490,698 = 490,698/x
  3. Step 3: Cross multiply
    223,110x = 490,698 × 490,698
  4. Step 4: Simplify right side
    223,110x = 240,784,527,204
  5. Step 5: Solve for x
    x = 240,784,527,204/223,110
  6. Step 6: Final answer
    x = 1,079,218.89

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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.