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Finding the Third Proportional to 11.72 and 16.79

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Solution

The third proportional to 11.72 and 16.79 is: 24.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.72 : 16.79 = 16.79 : x
  2. Step 2: Convert to fraction form
    11.72/16.79 = 16.79/x
  3. Step 3: Cross multiply
    11.72x = 16.79 × 16.79
  4. Step 4: Simplify right side
    11.72x = 282.04
  5. Step 5: Solve for x
    x = 282.04/11.72
  6. Step 6: Final answer
    x = 24.07

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.