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Finding the Third Proportional to 4.25 and 7.69

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Solution

The third proportional to 4.25 and 7.69 is: 13.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.25 : 7.69 = 7.69 : x
  2. Step 2: Convert to fraction form
    4.25/7.69 = 7.69/x
  3. Step 3: Cross multiply
    4.25x = 7.69 × 7.69
  4. Step 4: Simplify right side
    4.25x = 59.18
  5. Step 5: Solve for x
    x = 59.18/4.25
  6. Step 6: Final answer
    x = 13.93

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.