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Finding the Third Proportional to 33,384 and 73,488

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Solution

The third proportional to 33,384 and 73,488 is: 161,768.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,384 : 73,488 = 73,488 : x
  2. Step 2: Convert to fraction form
    33,384/73,488 = 73,488/x
  3. Step 3: Cross multiply
    33,384x = 73,488 × 73,488
  4. Step 4: Simplify right side
    33,384x = 5,400,486,144
  5. Step 5: Solve for x
    x = 5,400,486,144/33,384
  6. Step 6: Final answer
    x = 161,768.70

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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.