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Finding the Third Proportional to 3.94 and 8.34

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Solution

The third proportional to 3.94 and 8.34 is: 17.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.94 : 8.34 = 8.34 : x
  2. Step 2: Convert to fraction form
    3.94/8.34 = 8.34/x
  3. Step 3: Cross multiply
    3.94x = 8.34 × 8.34
  4. Step 4: Simplify right side
    3.94x = 69.62
  5. Step 5: Solve for x
    x = 69.62/3.94
  6. Step 6: Final answer
    x = 17.68

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.