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Finding the Third Proportional to 33,856 and 50,752

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Solution

The third proportional to 33,856 and 50,752 is: 76,080.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,856 : 50,752 = 50,752 : x
  2. Step 2: Convert to fraction form
    33,856/50,752 = 50,752/x
  3. Step 3: Cross multiply
    33,856x = 50,752 × 50,752
  4. Step 4: Simplify right side
    33,856x = 2,575,765,504
  5. Step 5: Solve for x
    x = 2,575,765,504/33,856
  6. Step 6: Final answer
    x = 76,080.03

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.