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Finding the Third Proportional to 10.94 and 11.78

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Solution

The third proportional to 10.94 and 11.78 is: 12.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10.94 : 11.78 = 11.78 : x
  2. Step 2: Convert to fraction form
    10.94/11.78 = 11.78/x
  3. Step 3: Cross multiply
    10.94x = 11.78 × 11.78
  4. Step 4: Simplify right side
    10.94x = 138.80
  5. Step 5: Solve for x
    x = 138.80/10.94
  6. Step 6: Final answer
    x = 12.69

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.