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Finding the Third Proportional to 218,872.50 and 479,265.19

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Solution

The third proportional to 218,872.50 and 479,265.19 is: 1,049,447.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,872.50 : 479,265.19 = 479,265.19 : x
  2. Step 2: Convert to fraction form
    218,872.50/479,265.19 = 479,265.19/x
  3. Step 3: Cross multiply
    218,872.50x = 479,265.19 × 479,265.19
  4. Step 4: Simplify right side
    218,872.50x = 229,695,119,949.41
  5. Step 5: Solve for x
    x = 229,695,119,949.41/218,872.50
  6. Step 6: Final answer
    x = 1,049,447.14

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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.