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Finding the Third Proportional to 20.50 and 27.25

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Solution

The third proportional to 20.50 and 27.25 is: 36.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    20.50 : 27.25 = 27.25 : x
  2. Step 2: Convert to fraction form
    20.50/27.25 = 27.25/x
  3. Step 3: Cross multiply
    20.50x = 27.25 × 27.25
  4. Step 4: Simplify right side
    20.50x = 742.56
  5. Step 5: Solve for x
    x = 742.56/20.50
  6. Step 6: Final answer
    x = 36.22

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.