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Finding the Third Proportional to 11.80 and 18.75

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Solution

The third proportional to 11.80 and 18.75 is: 29.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    11.80 : 18.75 = 18.75 : x
  2. Step 2: Convert to fraction form
    11.80/18.75 = 18.75/x
  3. Step 3: Cross multiply
    11.80x = 18.75 × 18.75
  4. Step 4: Simplify right side
    11.80x = 351.44
  5. Step 5: Solve for x
    x = 351.44/11.80
  6. Step 6: Final answer
    x = 29.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.