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Finding the Third Proportional to 33,768 and 73,544

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Solution

The third proportional to 33,768 and 73,544 is: 160,172.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768 : 73,544 = 73,544 : x
  2. Step 2: Convert to fraction form
    33,768/73,544 = 73,544/x
  3. Step 3: Cross multiply
    33,768x = 73,544 × 73,544
  4. Step 4: Simplify right side
    33,768x = 5,408,719,936
  5. Step 5: Solve for x
    x = 5,408,719,936/33,768
  6. Step 6: Final answer
    x = 160,172.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.