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Finding the Third Proportional to 3.25 and 3.63

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Solution

The third proportional to 3.25 and 3.63 is: 4.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3.25 : 3.63 = 3.63 : x
  2. Step 2: Convert to fraction form
    3.25/3.63 = 3.63/x
  3. Step 3: Cross multiply
    3.25x = 3.63 × 3.63
  4. Step 4: Simplify right side
    3.25x = 13.19
  5. Step 5: Solve for x
    x = 13.19/3.25
  6. Step 6: Final answer
    x = 4.06

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.