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Finding the Third Proportional to 33,695 and 73,367

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Solution

The third proportional to 33,695 and 73,367 is: 159,748.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,695 : 73,367 = 73,367 : x
  2. Step 2: Convert to fraction form
    33,695/73,367 = 73,367/x
  3. Step 3: Cross multiply
    33,695x = 73,367 × 73,367
  4. Step 4: Simplify right side
    33,695x = 5,382,716,689
  5. Step 5: Solve for x
    x = 5,382,716,689/33,695
  6. Step 6: Final answer
    x = 159,748.23

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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.