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Finding the Third Proportional to 300,496.50 and 449,790.75

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Solution

The third proportional to 300,496.50 and 449,790.75 is: 673,258.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,496.50 : 449,790.75 = 449,790.75 : x
  2. Step 2: Convert to fraction form
    300,496.50/449,790.75 = 449,790.75/x
  3. Step 3: Cross multiply
    300,496.50x = 449,790.75 × 449,790.75
  4. Step 4: Simplify right side
    300,496.50x = 202,311,718,785.56
  5. Step 5: Solve for x
    x = 202,311,718,785.56/300,496.50
  6. Step 6: Final answer
    x = 673,258.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.