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Finding the Third Proportional to 33,734 and 53,616

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Solution

The third proportional to 33,734 and 53,616 is: 85,215.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,734 : 53,616 = 53,616 : x
  2. Step 2: Convert to fraction form
    33,734/53,616 = 53,616/x
  3. Step 3: Cross multiply
    33,734x = 53,616 × 53,616
  4. Step 4: Simplify right side
    33,734x = 2,874,675,456
  5. Step 5: Solve for x
    x = 2,874,675,456/33,734
  6. Step 6: Final answer
    x = 85,215.97

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.