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Finding the Third Proportional to 5.77 and 11.67

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Solution

The third proportional to 5.77 and 11.67 is: 23.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.77 : 11.67 = 11.67 : x
  2. Step 2: Convert to fraction form
    5.77/11.67 = 11.67/x
  3. Step 3: Cross multiply
    5.77x = 11.67 × 11.67
  4. Step 4: Simplify right side
    5.77x = 136.13
  5. Step 5: Solve for x
    x = 136.13/5.77
  6. Step 6: Final answer
    x = 23.57

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.