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Finding the Third Proportional to 11.64 and 29.91

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Solution

The third proportional to 11.64 and 29.91 is: 76.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.64 : 29.91 = 29.91 : x
  2. Step 2: Convert to fraction form
    11.64/29.91 = 29.91/x
  3. Step 3: Cross multiply
    11.64x = 29.91 × 29.91
  4. Step 4: Simplify right side
    11.64x = 894.66
  5. Step 5: Solve for x
    x = 894.66/11.64
  6. Step 6: Final answer
    x = 76.83

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Why These Related Problems?

These problems maintain the same ratio (2.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.