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Finding the Third Proportional to 13 and 21.75

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Solution

The third proportional to 13 and 21.75 is: 36.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13 : 21.75 = 21.75 : x
  2. Step 2: Convert to fraction form
    13/21.75 = 21.75/x
  3. Step 3: Cross multiply
    13x = 21.75 × 21.75
  4. Step 4: Simplify right side
    13x = 473.06
  5. Step 5: Solve for x
    x = 473.06/13
  6. Step 6: Final answer
    x = 36.39

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.