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Finding the Third Proportional to 218,540 and 476,797

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Solution

The third proportional to 218,540 and 476,797 is: 1,040,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,540 : 476,797 = 476,797 : x
  2. Step 2: Convert to fraction form
    218,540/476,797 = 476,797/x
  3. Step 3: Cross multiply
    218,540x = 476,797 × 476,797
  4. Step 4: Simplify right side
    218,540x = 227,335,379,209
  5. Step 5: Solve for x
    x = 227,335,379,209/218,540
  6. Step 6: Final answer
    x = 1,040,246.08

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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.