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Finding the Third Proportional to 33,736 and 53,619

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Solution

The third proportional to 33,736 and 53,619 is: 85,220.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,736 : 53,619 = 53,619 : x
  2. Step 2: Convert to fraction form
    33,736/53,619 = 53,619/x
  3. Step 3: Cross multiply
    33,736x = 53,619 × 53,619
  4. Step 4: Simplify right side
    33,736x = 2,874,997,161
  5. Step 5: Solve for x
    x = 2,874,997,161/33,736
  6. Step 6: Final answer
    x = 85,220.45

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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.