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Finding the Third Proportional to 218,723.50 and 454,907

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Solution

The third proportional to 218,723.50 and 454,907 is: 946,127.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,723.50 : 454,907 = 454,907 : x
  2. Step 2: Convert to fraction form
    218,723.50/454,907 = 454,907/x
  3. Step 3: Cross multiply
    218,723.50x = 454,907 × 454,907
  4. Step 4: Simplify right side
    218,723.50x = 206,940,378,649
  5. Step 5: Solve for x
    x = 206,940,378,649/218,723.50
  6. Step 6: Final answer
    x = 946,127.78

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.