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Finding the Third Proportional to 7.72 and 12.68

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Solution

The third proportional to 7.72 and 12.68 is: 20.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.72 : 12.68 = 12.68 : x
  2. Step 2: Convert to fraction form
    7.72/12.68 = 12.68/x
  3. Step 3: Cross multiply
    7.72x = 12.68 × 12.68
  4. Step 4: Simplify right side
    7.72x = 160.85
  5. Step 5: Solve for x
    x = 160.85/7.72
  6. Step 6: Final answer
    x = 20.84

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.