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Finding the Third Proportional to 1.36 and 3.24

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Solution

The third proportional to 1.36 and 3.24 is: 7.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.36 : 3.24 = 3.24 : x
  2. Step 2: Convert to fraction form
    1.36/3.24 = 3.24/x
  3. Step 3: Cross multiply
    1.36x = 3.24 × 3.24
  4. Step 4: Simplify right side
    1.36x = 10.50
  5. Step 5: Solve for x
    x = 10.50/1.36
  6. Step 6: Final answer
    x = 7.71

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.