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Finding the Third Proportional to 7.44 and 11.70

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Solution

The third proportional to 7.44 and 11.70 is: 18.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.44 : 11.70 = 11.70 : x
  2. Step 2: Convert to fraction form
    7.44/11.70 = 11.70/x
  3. Step 3: Cross multiply
    7.44x = 11.70 × 11.70
  4. Step 4: Simplify right side
    7.44x = 136.97
  5. Step 5: Solve for x
    x = 136.97/7.44
  6. Step 6: Final answer
    x = 18.41

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.