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Finding the Third Proportional to 11.63 and 16.81

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Solution

The third proportional to 11.63 and 16.81 is: 24.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.63 : 16.81 = 16.81 : x
  2. Step 2: Convert to fraction form
    11.63/16.81 = 16.81/x
  3. Step 3: Cross multiply
    11.63x = 16.81 × 16.81
  4. Step 4: Simplify right side
    11.63x = 282.66
  5. Step 5: Solve for x
    x = 282.66/11.63
  6. Step 6: Final answer
    x = 24.31

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.