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Finding the Third Proportional to 201.45 and 396.25

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Solution

The third proportional to 201.45 and 396.25 is: 779.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    201.45 : 396.25 = 396.25 : x
  2. Step 2: Convert to fraction form
    201.45/396.25 = 396.25/x
  3. Step 3: Cross multiply
    201.45x = 396.25 × 396.25
  4. Step 4: Simplify right side
    201.45x = 157,010.97
  5. Step 5: Solve for x
    x = 157,010.97/201.45
  6. Step 6: Final answer
    x = 779.42

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.