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Finding the Third Proportional to 33,680 and 73,273

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Solution

The third proportional to 33,680 and 73,273 is: 159,410.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,680 : 73,273 = 73,273 : x
  2. Step 2: Convert to fraction form
    33,680/73,273 = 73,273/x
  3. Step 3: Cross multiply
    33,680x = 73,273 × 73,273
  4. Step 4: Simplify right side
    33,680x = 5,368,932,529
  5. Step 5: Solve for x
    x = 5,368,932,529/33,680
  6. Step 6: Final answer
    x = 159,410.11

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.