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Finding the Third Proportional to 217,879 and 471,950

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Solution

The third proportional to 217,879 and 471,950 is: 1,022,295.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,879 : 471,950 = 471,950 : x
  2. Step 2: Convert to fraction form
    217,879/471,950 = 471,950/x
  3. Step 3: Cross multiply
    217,879x = 471,950 × 471,950
  4. Step 4: Simplify right side
    217,879x = 222,736,802,500
  5. Step 5: Solve for x
    x = 222,736,802,500/217,879
  6. Step 6: Final answer
    x = 1,022,295.87

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.