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Finding the Third Proportional to 33,140.25 and 50,192.75

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Solution

The third proportional to 33,140.25 and 50,192.75 is: 76,019.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,140.25 : 50,192.75 = 50,192.75 : x
  2. Step 2: Convert to fraction form
    33,140.25/50,192.75 = 50,192.75/x
  3. Step 3: Cross multiply
    33,140.25x = 50,192.75 × 50,192.75
  4. Step 4: Simplify right side
    33,140.25x = 2,519,312,152.56
  5. Step 5: Solve for x
    x = 2,519,312,152.56/33,140.25
  6. Step 6: Final answer
    x = 76,019.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.