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Finding the Third Proportional to 8.48 and 11.93

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Solution

The third proportional to 8.48 and 11.93 is: 16.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8.48 : 11.93 = 11.93 : x
  2. Step 2: Convert to fraction form
    8.48/11.93 = 11.93/x
  3. Step 3: Cross multiply
    8.48x = 11.93 × 11.93
  4. Step 4: Simplify right side
    8.48x = 142.41
  5. Step 5: Solve for x
    x = 142.41/8.48
  6. Step 6: Final answer
    x = 16.79

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.