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Finding the Third Proportional to 33,552.84 and 73,009.97

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Solution

The third proportional to 33,552.84 and 73,009.97 is: 158,867.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,552.84 : 73,009.97 = 73,009.97 : x
  2. Step 2: Convert to fraction form
    33,552.84/73,009.97 = 73,009.97/x
  3. Step 3: Cross multiply
    33,552.84x = 73,009.97 × 73,009.97
  4. Step 4: Simplify right side
    33,552.84x = 5,330,455,536.88
  5. Step 5: Solve for x
    x = 5,330,455,536.88/33,552.84
  6. Step 6: Final answer
    x = 158,867.47

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.