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Finding the Third Proportional to 203,908.50 and 311,231.25

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Solution

The third proportional to 203,908.50 and 311,231.25 is: 475,040.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,908.50 : 311,231.25 = 311,231.25 : x
  2. Step 2: Convert to fraction form
    203,908.50/311,231.25 = 311,231.25/x
  3. Step 3: Cross multiply
    203,908.50x = 311,231.25 × 311,231.25
  4. Step 4: Simplify right side
    203,908.50x = 96,864,890,976.56
  5. Step 5: Solve for x
    x = 96,864,890,976.56/203,908.50
  6. Step 6: Final answer
    x = 475,040.97

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.