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Finding the Third Proportional to 40,067 and 66,734

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Solution

The third proportional to 40,067 and 66,734 is: 111,149.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,067 : 66,734 = 66,734 : x
  2. Step 2: Convert to fraction form
    40,067/66,734 = 66,734/x
  3. Step 3: Cross multiply
    40,067x = 66,734 × 66,734
  4. Step 4: Simplify right side
    40,067x = 4,453,426,756
  5. Step 5: Solve for x
    x = 4,453,426,756/40,067
  6. Step 6: Final answer
    x = 111,149.49

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.