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Finding the Third Proportional to 33,852 and 50,583

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Solution

The third proportional to 33,852 and 50,583 is: 75,583.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,852 : 50,583 = 50,583 : x
  2. Step 2: Convert to fraction form
    33,852/50,583 = 50,583/x
  3. Step 3: Cross multiply
    33,852x = 50,583 × 50,583
  4. Step 4: Simplify right side
    33,852x = 2,558,639,889
  5. Step 5: Solve for x
    x = 2,558,639,889/33,852
  6. Step 6: Final answer
    x = 75,583.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.