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Finding the Third Proportional to 14 and 21.25

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Solution

The third proportional to 14 and 21.25 is: 32.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    14 : 21.25 = 21.25 : x
  2. Step 2: Convert to fraction form
    14/21.25 = 21.25/x
  3. Step 3: Cross multiply
    14x = 21.25 × 21.25
  4. Step 4: Simplify right side
    14x = 451.56
  5. Step 5: Solve for x
    x = 451.56/14
  6. Step 6: Final answer
    x = 32.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.