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Finding the Third Proportional to 6.43 and 13.82

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Solution

The third proportional to 6.43 and 13.82 is: 29.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.43 : 13.82 = 13.82 : x
  2. Step 2: Convert to fraction form
    6.43/13.82 = 13.82/x
  3. Step 3: Cross multiply
    6.43x = 13.82 × 13.82
  4. Step 4: Simplify right side
    6.43x = 190.89
  5. Step 5: Solve for x
    x = 190.89/6.43
  6. Step 6: Final answer
    x = 29.67

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.