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Finding the Third Proportional to 7.69 and 13.75

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Solution

The third proportional to 7.69 and 13.75 is: 24.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.69 : 13.75 = 13.75 : x
  2. Step 2: Convert to fraction form
    7.69/13.75 = 13.75/x
  3. Step 3: Cross multiply
    7.69x = 13.75 × 13.75
  4. Step 4: Simplify right side
    7.69x = 189.06
  5. Step 5: Solve for x
    x = 189.06/7.69
  6. Step 6: Final answer
    x = 24.59

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.