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Finding the Third Proportional to 218,724.50 and 454,908

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Solution

The third proportional to 218,724.50 and 454,908 is: 946,127.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,724.50 : 454,908 = 454,908 : x
  2. Step 2: Convert to fraction form
    218,724.50/454,908 = 454,908/x
  3. Step 3: Cross multiply
    218,724.50x = 454,908 × 454,908
  4. Step 4: Simplify right side
    218,724.50x = 206,941,288,464
  5. Step 5: Solve for x
    x = 206,941,288,464/218,724.50
  6. Step 6: Final answer
    x = 946,127.61

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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.