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Finding the Third Proportional to 8.93 and 11.78

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Solution

The third proportional to 8.93 and 11.78 is: 15.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.93 : 11.78 = 11.78 : x
  2. Step 2: Convert to fraction form
    8.93/11.78 = 11.78/x
  3. Step 3: Cross multiply
    8.93x = 11.78 × 11.78
  4. Step 4: Simplify right side
    8.93x = 138.85
  5. Step 5: Solve for x
    x = 138.85/8.93
  6. Step 6: Final answer
    x = 15.54

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.