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Finding the Third Proportional to 2.14 and 3.82

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Solution

The third proportional to 2.14 and 3.82 is: 6.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 3.82 = 3.82 : x
  2. Step 2: Convert to fraction form
    2.14/3.82 = 3.82/x
  3. Step 3: Cross multiply
    2.14x = 3.82 × 3.82
  4. Step 4: Simplify right side
    2.14x = 14.57
  5. Step 5: Solve for x
    x = 14.57/2.14
  6. Step 6: Final answer
    x = 6.82

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.