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Finding the Third Proportional to 33,846.19 and 73,144.69

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Solution

The third proportional to 33,846.19 and 73,144.69 is: 158,072.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,846.19 : 73,144.69 = 73,144.69 : x
  2. Step 2: Convert to fraction form
    33,846.19/73,144.69 = 73,144.69/x
  3. Step 3: Cross multiply
    33,846.19x = 73,144.69 × 73,144.69
  4. Step 4: Simplify right side
    33,846.19x = 5,350,145,309.47
  5. Step 5: Solve for x
    x = 5,350,145,309.47/33,846.19
  6. Step 6: Final answer
    x = 158,072.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.