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Finding the Third Proportional to 11.51 and 23.86

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Solution

The third proportional to 11.51 and 23.86 is: 49.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.51 : 23.86 = 23.86 : x
  2. Step 2: Convert to fraction form
    11.51/23.86 = 23.86/x
  3. Step 3: Cross multiply
    11.51x = 23.86 × 23.86
  4. Step 4: Simplify right side
    11.51x = 569.27
  5. Step 5: Solve for x
    x = 569.27/11.51
  6. Step 6: Final answer
    x = 49.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.