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Finding the Third Proportional to 218,949 and 471,189

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Solution

The third proportional to 218,949 and 471,189 is: 1,014,021.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,949 : 471,189 = 471,189 : x
  2. Step 2: Convert to fraction form
    218,949/471,189 = 471,189/x
  3. Step 3: Cross multiply
    218,949x = 471,189 × 471,189
  4. Step 4: Simplify right side
    218,949x = 222,019,073,721
  5. Step 5: Solve for x
    x = 222,019,073,721/218,949
  6. Step 6: Final answer
    x = 1,014,021.87

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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.