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Finding the Third Proportional to 11.77 and 30.91

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Solution

The third proportional to 11.77 and 30.91 is: 81.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.77 : 30.91 = 30.91 : x
  2. Step 2: Convert to fraction form
    11.77/30.91 = 30.91/x
  3. Step 3: Cross multiply
    11.77x = 30.91 × 30.91
  4. Step 4: Simplify right side
    11.77x = 955.38
  5. Step 5: Solve for x
    x = 955.38/11.77
  6. Step 6: Final answer
    x = 81.17

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.