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Finding the Third Proportional to 65.44 and 144.19

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Solution

The third proportional to 65.44 and 144.19 is: 317.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.44 : 144.19 = 144.19 : x
  2. Step 2: Convert to fraction form
    65.44/144.19 = 144.19/x
  3. Step 3: Cross multiply
    65.44x = 144.19 × 144.19
  4. Step 4: Simplify right side
    65.44x = 20,790.04
  5. Step 5: Solve for x
    x = 20,790.04/65.44
  6. Step 6: Final answer
    x = 317.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.