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Finding the Third Proportional to 33,228 and 49,366

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Solution

The third proportional to 33,228 and 49,366 is: 73,341.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,228 : 49,366 = 49,366 : x
  2. Step 2: Convert to fraction form
    33,228/49,366 = 49,366/x
  3. Step 3: Cross multiply
    33,228x = 49,366 × 49,366
  4. Step 4: Simplify right side
    33,228x = 2,437,001,956
  5. Step 5: Solve for x
    x = 2,437,001,956/33,228
  6. Step 6: Final answer
    x = 73,341.82

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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.