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Finding the Third Proportional to 6.23 and 13.49

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Solution

The third proportional to 6.23 and 13.49 is: 29.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.23 : 13.49 = 13.49 : x
  2. Step 2: Convert to fraction form
    6.23/13.49 = 13.49/x
  3. Step 3: Cross multiply
    6.23x = 13.49 × 13.49
  4. Step 4: Simplify right side
    6.23x = 182.02
  5. Step 5: Solve for x
    x = 182.02/6.23
  6. Step 6: Final answer
    x = 29.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.