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Finding the Third Proportional to 33,768.56 and 41,058.56

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Solution

The third proportional to 33,768.56 and 41,058.56 is: 49,922.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,768.56 : 41,058.56 = 41,058.56 : x
  2. Step 2: Convert to fraction form
    33,768.56/41,058.56 = 41,058.56/x
  3. Step 3: Cross multiply
    33,768.56x = 41,058.56 × 41,058.56
  4. Step 4: Simplify right side
    33,768.56x = 1,685,805,554.57
  5. Step 5: Solve for x
    x = 1,685,805,554.57/33,768.56
  6. Step 6: Final answer
    x = 49,922.34

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.