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Finding the Third Proportional to 33,610 and 50,235

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Solution

The third proportional to 33,610 and 50,235 is: 75,083.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,610 : 50,235 = 50,235 : x
  2. Step 2: Convert to fraction form
    33,610/50,235 = 50,235/x
  3. Step 3: Cross multiply
    33,610x = 50,235 × 50,235
  4. Step 4: Simplify right side
    33,610x = 2,523,555,225
  5. Step 5: Solve for x
    x = 2,523,555,225/33,610
  6. Step 6: Final answer
    x = 75,083.46

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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.