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Finding the Third Proportional to 33,333 and 72,203

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Solution

The third proportional to 33,333 and 72,203 is: 156,399.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,333 : 72,203 = 72,203 : x
  2. Step 2: Convert to fraction form
    33,333/72,203 = 72,203/x
  3. Step 3: Cross multiply
    33,333x = 72,203 × 72,203
  4. Step 4: Simplify right side
    33,333x = 5,213,273,209
  5. Step 5: Solve for x
    x = 5,213,273,209/33,333
  6. Step 6: Final answer
    x = 156,399.76

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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.