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Finding the Third Proportional to 13.24 and 20.51

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Solution

The third proportional to 13.24 and 20.51 is: 31.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.24 : 20.51 = 20.51 : x
  2. Step 2: Convert to fraction form
    13.24/20.51 = 20.51/x
  3. Step 3: Cross multiply
    13.24x = 20.51 × 20.51
  4. Step 4: Simplify right side
    13.24x = 420.81
  5. Step 5: Solve for x
    x = 420.81/13.24
  6. Step 6: Final answer
    x = 31.79

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.