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Finding the Third Proportional to 13.26 and 20.23

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Solution

The third proportional to 13.26 and 20.23 is: 30.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.26 : 20.23 = 20.23 : x
  2. Step 2: Convert to fraction form
    13.26/20.23 = 20.23/x
  3. Step 3: Cross multiply
    13.26x = 20.23 × 20.23
  4. Step 4: Simplify right side
    13.26x = 409.35
  5. Step 5: Solve for x
    x = 409.35/13.26
  6. Step 6: Final answer
    x = 30.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.