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Finding the Third Proportional to 6.78 and 10.94

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Solution

The third proportional to 6.78 and 10.94 is: 17.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.78 : 10.94 = 10.94 : x
  2. Step 2: Convert to fraction form
    6.78/10.94 = 10.94/x
  3. Step 3: Cross multiply
    6.78x = 10.94 × 10.94
  4. Step 4: Simplify right side
    6.78x = 119.66
  5. Step 5: Solve for x
    x = 119.66/6.78
  6. Step 6: Final answer
    x = 17.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.