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Finding the Third Proportional to 218,711 and 476,950

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Solution

The third proportional to 218,711 and 476,950 is: 1,040,099.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,711 : 476,950 = 476,950 : x
  2. Step 2: Convert to fraction form
    218,711/476,950 = 476,950/x
  3. Step 3: Cross multiply
    218,711x = 476,950 × 476,950
  4. Step 4: Simplify right side
    218,711x = 227,481,302,500
  5. Step 5: Solve for x
    x = 227,481,302,500/218,711
  6. Step 6: Final answer
    x = 1,040,099.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.