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Finding the Third Proportional to 33,207 and 49,338

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Solution

The third proportional to 33,207 and 49,338 is: 73,304.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,207 : 49,338 = 49,338 : x
  2. Step 2: Convert to fraction form
    33,207/49,338 = 49,338/x
  3. Step 3: Cross multiply
    33,207x = 49,338 × 49,338
  4. Step 4: Simplify right side
    33,207x = 2,434,238,244
  5. Step 5: Solve for x
    x = 2,434,238,244/33,207
  6. Step 6: Final answer
    x = 73,304.97

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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.