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Finding the Third Proportional to 33,987.75 and 73,445.25

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Solution

The third proportional to 33,987.75 and 73,445.25 is: 158,710.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,987.75 : 73,445.25 = 73,445.25 : x
  2. Step 2: Convert to fraction form
    33,987.75/73,445.25 = 73,445.25/x
  3. Step 3: Cross multiply
    33,987.75x = 73,445.25 × 73,445.25
  4. Step 4: Simplify right side
    33,987.75x = 5,394,204,747.56
  5. Step 5: Solve for x
    x = 5,394,204,747.56/33,987.75
  6. Step 6: Final answer
    x = 158,710.26

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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.