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Finding the Third Proportional to 33,336 and 73,296

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Solution

The third proportional to 33,336 and 73,296 is: 161,156.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,336 : 73,296 = 73,296 : x
  2. Step 2: Convert to fraction form
    33,336/73,296 = 73,296/x
  3. Step 3: Cross multiply
    33,336x = 73,296 × 73,296
  4. Step 4: Simplify right side
    33,336x = 5,372,303,616
  5. Step 5: Solve for x
    x = 5,372,303,616/33,336
  6. Step 6: Final answer
    x = 161,156.22

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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.