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Finding the Third Proportional to 305,879.50 and 667,055

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Solution

The third proportional to 305,879.50 and 667,055 is: 1,454,698.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,879.50 : 667,055 = 667,055 : x
  2. Step 2: Convert to fraction form
    305,879.50/667,055 = 667,055/x
  3. Step 3: Cross multiply
    305,879.50x = 667,055 × 667,055
  4. Step 4: Simplify right side
    305,879.50x = 444,962,373,025
  5. Step 5: Solve for x
    x = 444,962,373,025/305,879.50
  6. Step 6: Final answer
    x = 1,454,698.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.