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Finding the Third Proportional to 33,446 and 73,718

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Solution

The third proportional to 33,446 and 73,718 is: 162,481.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,446 : 73,718 = 73,718 : x
  2. Step 2: Convert to fraction form
    33,446/73,718 = 73,718/x
  3. Step 3: Cross multiply
    33,446x = 73,718 × 73,718
  4. Step 4: Simplify right side
    33,446x = 5,434,343,524
  5. Step 5: Solve for x
    x = 5,434,343,524/33,446
  6. Step 6: Final answer
    x = 162,481.12

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Why These Related Problems?

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