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Finding the Third Proportional to 33,832 and 48,086

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Solution

The third proportional to 33,832 and 48,086 is: 68,345.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,832 : 48,086 = 48,086 : x
  2. Step 2: Convert to fraction form
    33,832/48,086 = 48,086/x
  3. Step 3: Cross multiply
    33,832x = 48,086 × 48,086
  4. Step 4: Simplify right side
    33,832x = 2,312,263,396
  5. Step 5: Solve for x
    x = 2,312,263,396/33,832
  6. Step 6: Final answer
    x = 68,345.45

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.