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Finding the Third Proportional to 33,396 and 49,986

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Solution

The third proportional to 33,396 and 49,986 is: 74,817.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,396 : 49,986 = 49,986 : x
  2. Step 2: Convert to fraction form
    33,396/49,986 = 49,986/x
  3. Step 3: Cross multiply
    33,396x = 49,986 × 49,986
  4. Step 4: Simplify right side
    33,396x = 2,498,600,196
  5. Step 5: Solve for x
    x = 2,498,600,196/33,396
  6. Step 6: Final answer
    x = 74,817.35

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Why These Related Problems?

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