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Finding the Third Proportional to 1.36 and 2.16

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Solution

The third proportional to 1.36 and 2.16 is: 3.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.36 : 2.16 = 2.16 : x
  2. Step 2: Convert to fraction form
    1.36/2.16 = 2.16/x
  3. Step 3: Cross multiply
    1.36x = 2.16 × 2.16
  4. Step 4: Simplify right side
    1.36x = 4.65
  5. Step 5: Solve for x
    x = 4.65/1.36
  6. Step 6: Final answer
    x = 3.42

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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.