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Finding the Third Proportional to 13.61 and 20.88

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Solution

The third proportional to 13.61 and 20.88 is: 32.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13.61 : 20.88 = 20.88 : x
  2. Step 2: Convert to fraction form
    13.61/20.88 = 20.88/x
  3. Step 3: Cross multiply
    13.61x = 20.88 × 20.88
  4. Step 4: Simplify right side
    13.61x = 436.09
  5. Step 5: Solve for x
    x = 436.09/13.61
  6. Step 6: Final answer
    x = 32.05

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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.