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Finding the Third Proportional to 66.92 and 144.12

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Solution

The third proportional to 66.92 and 144.12 is: 310.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.92 : 144.12 = 144.12 : x
  2. Step 2: Convert to fraction form
    66.92/144.12 = 144.12/x
  3. Step 3: Cross multiply
    66.92x = 144.12 × 144.12
  4. Step 4: Simplify right side
    66.92x = 20,771.45
  5. Step 5: Solve for x
    x = 20,771.45/66.92
  6. Step 6: Final answer
    x = 310.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.