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Finding the Third Proportional to 33,736 and 73,952

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Solution

The third proportional to 33,736 and 73,952 is: 162,108.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,736 : 73,952 = 73,952 : x
  2. Step 2: Convert to fraction form
    33,736/73,952 = 73,952/x
  3. Step 3: Cross multiply
    33,736x = 73,952 × 73,952
  4. Step 4: Simplify right side
    33,736x = 5,468,898,304
  5. Step 5: Solve for x
    x = 5,468,898,304/33,736
  6. Step 6: Final answer
    x = 162,108.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.