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Finding the Third Proportional to 218,122 and 476,839

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Solution

The third proportional to 218,122 and 476,839 is: 1,042,423.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,122 : 476,839 = 476,839 : x
  2. Step 2: Convert to fraction form
    218,122/476,839 = 476,839/x
  3. Step 3: Cross multiply
    218,122x = 476,839 × 476,839
  4. Step 4: Simplify right side
    218,122x = 227,375,431,921
  5. Step 5: Solve for x
    x = 227,375,431,921/218,122
  6. Step 6: Final answer
    x = 1,042,423.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.