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Finding the Third Proportional to 218,900.25 and 479,319.75

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Solution

The third proportional to 218,900.25 and 479,319.75 is: 1,049,553.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,900.25 : 479,319.75 = 479,319.75 : x
  2. Step 2: Convert to fraction form
    218,900.25/479,319.75 = 479,319.75/x
  3. Step 3: Cross multiply
    218,900.25x = 479,319.75 × 479,319.75
  4. Step 4: Simplify right side
    218,900.25x = 229,747,422,740.06
  5. Step 5: Solve for x
    x = 229,747,422,740.06/218,900.25
  6. Step 6: Final answer
    x = 1,049,553.04

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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.