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Finding the Third Proportional to 6.21 and 13.41

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Solution

The third proportional to 6.21 and 13.41 is: 28.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.21 : 13.41 = 13.41 : x
  2. Step 2: Convert to fraction form
    6.21/13.41 = 13.41/x
  3. Step 3: Cross multiply
    6.21x = 13.41 × 13.41
  4. Step 4: Simplify right side
    6.21x = 179.77
  5. Step 5: Solve for x
    x = 179.77/6.21
  6. Step 6: Final answer
    x = 28.95

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.