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Finding the Third Proportional to 6.89 and 12.76

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Solution

The third proportional to 6.89 and 12.76 is: 23.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.89 : 12.76 = 12.76 : x
  2. Step 2: Convert to fraction form
    6.89/12.76 = 12.76/x
  3. Step 3: Cross multiply
    6.89x = 12.76 × 12.76
  4. Step 4: Simplify right side
    6.89x = 162.86
  5. Step 5: Solve for x
    x = 162.86/6.89
  6. Step 6: Final answer
    x = 23.64

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.