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Finding the Third Proportional to 350.26 and 480.78

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Solution

The third proportional to 350.26 and 480.78 is: 659.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    350.26 : 480.78 = 480.78 : x
  2. Step 2: Convert to fraction form
    350.26/480.78 = 480.78/x
  3. Step 3: Cross multiply
    350.26x = 480.78 × 480.78
  4. Step 4: Simplify right side
    350.26x = 231,148.73
  5. Step 5: Solve for x
    x = 231,148.73/350.26
  6. Step 6: Final answer
    x = 659.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.