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Finding the Third Proportional to 33,796 and 73,948

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Solution

The third proportional to 33,796 and 73,948 is: 161,803.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,796 : 73,948 = 73,948 : x
  2. Step 2: Convert to fraction form
    33,796/73,948 = 73,948/x
  3. Step 3: Cross multiply
    33,796x = 73,948 × 73,948
  4. Step 4: Simplify right side
    33,796x = 5,468,306,704
  5. Step 5: Solve for x
    x = 5,468,306,704/33,796
  6. Step 6: Final answer
    x = 161,803.37

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.