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Finding the Third Proportional to 6.73 and 13.46

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Solution

The third proportional to 6.73 and 13.46 is: 26.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.73 : 13.46 = 13.46 : x
  2. Step 2: Convert to fraction form
    6.73/13.46 = 13.46/x
  3. Step 3: Cross multiply
    6.73x = 13.46 × 13.46
  4. Step 4: Simplify right side
    6.73x = 181.11
  5. Step 5: Solve for x
    x = 181.11/6.73
  6. Step 6: Final answer
    x = 26.92

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Why These Related Problems?

These problems maintain the same ratio (2.00) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.