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Finding the Third Proportional to 33,986 and 73,811

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Solution

The third proportional to 33,986 and 73,811 is: 160,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,986 : 73,811 = 73,811 : x
  2. Step 2: Convert to fraction form
    33,986/73,811 = 73,811/x
  3. Step 3: Cross multiply
    33,986x = 73,811 × 73,811
  4. Step 4: Simplify right side
    33,986x = 5,448,063,721
  5. Step 5: Solve for x
    x = 5,448,063,721/33,986
  6. Step 6: Final answer
    x = 160,303.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.