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Finding the Third Proportional to 8.75 and 13.18

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Solution

The third proportional to 8.75 and 13.18 is: 19.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.75 : 13.18 = 13.18 : x
  2. Step 2: Convert to fraction form
    8.75/13.18 = 13.18/x
  3. Step 3: Cross multiply
    8.75x = 13.18 × 13.18
  4. Step 4: Simplify right side
    8.75x = 173.81
  5. Step 5: Solve for x
    x = 173.81/8.75
  6. Step 6: Final answer
    x = 19.85

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.