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Finding the Third Proportional to 218,072.25 and 462,555

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Solution

The third proportional to 218,072.25 and 462,555 is: 981,129.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,072.25 : 462,555 = 462,555 : x
  2. Step 2: Convert to fraction form
    218,072.25/462,555 = 462,555/x
  3. Step 3: Cross multiply
    218,072.25x = 462,555 × 462,555
  4. Step 4: Simplify right side
    218,072.25x = 213,957,128,025
  5. Step 5: Solve for x
    x = 213,957,128,025/218,072.25
  6. Step 6: Final answer
    x = 981,129.55

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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.