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Finding the Third Proportional to 33,486 and 73,788

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Solution

The third proportional to 33,486 and 73,788 is: 162,595.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,486 : 73,788 = 73,788 : x
  2. Step 2: Convert to fraction form
    33,486/73,788 = 73,788/x
  3. Step 3: Cross multiply
    33,486x = 73,788 × 73,788
  4. Step 4: Simplify right side
    33,486x = 5,444,668,944
  5. Step 5: Solve for x
    x = 5,444,668,944/33,486
  6. Step 6: Final answer
    x = 162,595.38

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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.