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Finding the Third Proportional to 6.09 and 10.73

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Solution

The third proportional to 6.09 and 10.73 is: 18.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.09 : 10.73 = 10.73 : x
  2. Step 2: Convert to fraction form
    6.09/10.73 = 10.73/x
  3. Step 3: Cross multiply
    6.09x = 10.73 × 10.73
  4. Step 4: Simplify right side
    6.09x = 115.23
  5. Step 5: Solve for x
    x = 115.23/6.09
  6. Step 6: Final answer
    x = 18.91

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Why These Related Problems?

These problems maintain the same ratio (1.76) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.