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Finding the Third Proportional to 33,852 and 52,629

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Solution

The third proportional to 33,852 and 52,629 is: 81,821.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852 : 52,629 = 52,629 : x
  2. Step 2: Convert to fraction form
    33,852/52,629 = 52,629/x
  3. Step 3: Cross multiply
    33,852x = 52,629 × 52,629
  4. Step 4: Simplify right side
    33,852x = 2,769,811,641
  5. Step 5: Solve for x
    x = 2,769,811,641/33,852
  6. Step 6: Final answer
    x = 81,821.21

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.