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Finding the Third Proportional to 7.77 and 17.11

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Solution

The third proportional to 7.77 and 17.11 is: 37.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.77 : 17.11 = 17.11 : x
  2. Step 2: Convert to fraction form
    7.77/17.11 = 17.11/x
  3. Step 3: Cross multiply
    7.77x = 17.11 × 17.11
  4. Step 4: Simplify right side
    7.77x = 292.60
  5. Step 5: Solve for x
    x = 292.60/7.77
  6. Step 6: Final answer
    x = 37.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.