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Finding the Third Proportional to 33,678 and 73,252

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Solution

The third proportional to 33,678 and 73,252 is: 159,328.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,678 : 73,252 = 73,252 : x
  2. Step 2: Convert to fraction form
    33,678/73,252 = 73,252/x
  3. Step 3: Cross multiply
    33,678x = 73,252 × 73,252
  4. Step 4: Simplify right side
    33,678x = 5,365,855,504
  5. Step 5: Solve for x
    x = 5,365,855,504/33,678
  6. Step 6: Final answer
    x = 159,328.21

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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.