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Finding the Third Proportional to 33,450 and 73,119

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Solution

The third proportional to 33,450 and 73,119 is: 159,832.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,450 : 73,119 = 73,119 : x
  2. Step 2: Convert to fraction form
    33,450/73,119 = 73,119/x
  3. Step 3: Cross multiply
    33,450x = 73,119 × 73,119
  4. Step 4: Simplify right side
    33,450x = 5,346,388,161
  5. Step 5: Solve for x
    x = 5,346,388,161/33,450
  6. Step 6: Final answer
    x = 159,832.23

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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.