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Finding the Third Proportional to 33,584 and 73,860

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Solution

The third proportional to 33,584 and 73,860 is: 162,437.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,584 : 73,860 = 73,860 : x
  2. Step 2: Convert to fraction form
    33,584/73,860 = 73,860/x
  3. Step 3: Cross multiply
    33,584x = 73,860 × 73,860
  4. Step 4: Simplify right side
    33,584x = 5,455,299,600
  5. Step 5: Solve for x
    x = 5,455,299,600/33,584
  6. Step 6: Final answer
    x = 162,437.46

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.