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Finding the Third Proportional to 218,079 and 462,051

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Solution

The third proportional to 218,079 and 462,051 is: 978,962.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,079 : 462,051 = 462,051 : x
  2. Step 2: Convert to fraction form
    218,079/462,051 = 462,051/x
  3. Step 3: Cross multiply
    218,079x = 462,051 × 462,051
  4. Step 4: Simplify right side
    218,079x = 213,491,126,601
  5. Step 5: Solve for x
    x = 213,491,126,601/218,079
  6. Step 6: Final answer
    x = 978,962.33

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.