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Finding the Third Proportional to 33,824 and 73,479

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Solution

The third proportional to 33,824 and 73,479 is: 159,625.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,824 : 73,479 = 73,479 : x
  2. Step 2: Convert to fraction form
    33,824/73,479 = 73,479/x
  3. Step 3: Cross multiply
    33,824x = 73,479 × 73,479
  4. Step 4: Simplify right side
    33,824x = 5,399,163,441
  5. Step 5: Solve for x
    x = 5,399,163,441/33,824
  6. Step 6: Final answer
    x = 159,625.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.