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Finding the Third Proportional to 11.80 and 30.32

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Solution

The third proportional to 11.80 and 30.32 is: 77.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.80 : 30.32 = 30.32 : x
  2. Step 2: Convert to fraction form
    11.80/30.32 = 30.32/x
  3. Step 3: Cross multiply
    11.80x = 30.32 × 30.32
  4. Step 4: Simplify right side
    11.80x = 919.24
  5. Step 5: Solve for x
    x = 919.24/11.80
  6. Step 6: Final answer
    x = 77.88

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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.