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Finding the Third Proportional to 218,934 and 471,639

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Solution

The third proportional to 218,934 and 471,639 is: 1,016,029.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,934 : 471,639 = 471,639 : x
  2. Step 2: Convert to fraction form
    218,934/471,639 = 471,639/x
  3. Step 3: Cross multiply
    218,934x = 471,639 × 471,639
  4. Step 4: Simplify right side
    218,934x = 222,443,346,321
  5. Step 5: Solve for x
    x = 222,443,346,321/218,934
  6. Step 6: Final answer
    x = 1,016,029.24

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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.