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Finding the Third Proportional to 218,549 and 476,815

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Solution

The third proportional to 218,549 and 476,815 is: 1,040,281.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,549 : 476,815 = 476,815 : x
  2. Step 2: Convert to fraction form
    218,549/476,815 = 476,815/x
  3. Step 3: Cross multiply
    218,549x = 476,815 × 476,815
  4. Step 4: Simplify right side
    218,549x = 227,352,544,225
  5. Step 5: Solve for x
    x = 227,352,544,225/218,549
  6. Step 6: Final answer
    x = 1,040,281.79

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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.