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Finding the Third Proportional to 14.08 and 20.96

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Solution

The third proportional to 14.08 and 20.96 is: 31.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    14.08 : 20.96 = 20.96 : x
  2. Step 2: Convert to fraction form
    14.08/20.96 = 20.96/x
  3. Step 3: Cross multiply
    14.08x = 20.96 × 20.96
  4. Step 4: Simplify right side
    14.08x = 439.22
  5. Step 5: Solve for x
    x = 439.22/14.08
  6. Step 6: Final answer
    x = 31.20

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.