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Finding the Third Proportional to 218,831 and 471,137

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Solution

The third proportional to 218,831 and 471,137 is: 1,014,344.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,831 : 471,137 = 471,137 : x
  2. Step 2: Convert to fraction form
    218,831/471,137 = 471,137/x
  3. Step 3: Cross multiply
    218,831x = 471,137 × 471,137
  4. Step 4: Simplify right side
    218,831x = 221,970,072,769
  5. Step 5: Solve for x
    x = 221,970,072,769/218,831
  6. Step 6: Final answer
    x = 1,014,344.74

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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.