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Finding the Third Proportional to 338.75 and 495.22

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Solution

The third proportional to 338.75 and 495.22 is: 723.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.75 : 495.22 = 495.22 : x
  2. Step 2: Convert to fraction form
    338.75/495.22 = 495.22/x
  3. Step 3: Cross multiply
    338.75x = 495.22 × 495.22
  4. Step 4: Simplify right side
    338.75x = 245,241.61
  5. Step 5: Solve for x
    x = 245,241.61/338.75
  6. Step 6: Final answer
    x = 723.96

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.