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Finding the Third Proportional to 33,639.75 and 71,379

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Solution

The third proportional to 33,639.75 and 71,379 is: 151,456.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,639.75 : 71,379 = 71,379 : x
  2. Step 2: Convert to fraction form
    33,639.75/71,379 = 71,379/x
  3. Step 3: Cross multiply
    33,639.75x = 71,379 × 71,379
  4. Step 4: Simplify right side
    33,639.75x = 5,094,961,641
  5. Step 5: Solve for x
    x = 5,094,961,641/33,639.75
  6. Step 6: Final answer
    x = 151,456.58

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.