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Finding the Third Proportional to 218,427 and 479,679

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Solution

The third proportional to 218,427 and 479,679 is: 1,053,404.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,427 : 479,679 = 479,679 : x
  2. Step 2: Convert to fraction form
    218,427/479,679 = 479,679/x
  3. Step 3: Cross multiply
    218,427x = 479,679 × 479,679
  4. Step 4: Simplify right side
    218,427x = 230,091,943,041
  5. Step 5: Solve for x
    x = 230,091,943,041/218,427
  6. Step 6: Final answer
    x = 1,053,404.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.