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Finding the Third Proportional to 490.50 and 748.75

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Solution

The third proportional to 490.50 and 748.75 is: 1,142.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.50 : 748.75 = 748.75 : x
  2. Step 2: Convert to fraction form
    490.50/748.75 = 748.75/x
  3. Step 3: Cross multiply
    490.50x = 748.75 × 748.75
  4. Step 4: Simplify right side
    490.50x = 560,626.56
  5. Step 5: Solve for x
    x = 560,626.56/490.50
  6. Step 6: Final answer
    x = 1,142.97

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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.