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Finding the Third Proportional to 33,847 and 74,011

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Solution

The third proportional to 33,847 and 74,011 is: 161,834.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,847 : 74,011 = 74,011 : x
  2. Step 2: Convert to fraction form
    33,847/74,011 = 74,011/x
  3. Step 3: Cross multiply
    33,847x = 74,011 × 74,011
  4. Step 4: Simplify right side
    33,847x = 5,477,628,121
  5. Step 5: Solve for x
    x = 5,477,628,121/33,847
  6. Step 6: Final answer
    x = 161,834.97

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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.