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Finding the Third Proportional to 11.86 and 23.73

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Solution

The third proportional to 11.86 and 23.73 is: 47.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.86 : 23.73 = 23.73 : x
  2. Step 2: Convert to fraction form
    11.86/23.73 = 23.73/x
  3. Step 3: Cross multiply
    11.86x = 23.73 × 23.73
  4. Step 4: Simplify right side
    11.86x = 562.94
  5. Step 5: Solve for x
    x = 562.94/11.86
  6. Step 6: Final answer
    x = 47.45

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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.