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Finding the Third Proportional to 218,672.75 and 454,803.50

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Solution

The third proportional to 218,672.75 and 454,803.50 is: 945,916.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,672.75 : 454,803.50 = 454,803.50 : x
  2. Step 2: Convert to fraction form
    218,672.75/454,803.50 = 454,803.50/x
  3. Step 3: Cross multiply
    218,672.75x = 454,803.50 × 454,803.50
  4. Step 4: Simplify right side
    218,672.75x = 206,846,223,612.25
  5. Step 5: Solve for x
    x = 206,846,223,612.25/218,672.75
  6. Step 6: Final answer
    x = 945,916.78

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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.