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Finding the Third Proportional to 33,640.31 and 73,158.19

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Solution

The third proportional to 33,640.31 and 73,158.19 is: 159,098.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,640.31 : 73,158.19 = 73,158.19 : x
  2. Step 2: Convert to fraction form
    33,640.31/73,158.19 = 73,158.19/x
  3. Step 3: Cross multiply
    33,640.31x = 73,158.19 × 73,158.19
  4. Step 4: Simplify right side
    33,640.31x = 5,352,120,398.29
  5. Step 5: Solve for x
    x = 5,352,120,398.29/33,640.31
  6. Step 6: Final answer
    x = 159,098.41

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.