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Finding the Third Proportional to 33,597 and 73,087

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Solution

The third proportional to 33,597 and 73,087 is: 158,993.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,597 : 73,087 = 73,087 : x
  2. Step 2: Convert to fraction form
    33,597/73,087 = 73,087/x
  3. Step 3: Cross multiply
    33,597x = 73,087 × 73,087
  4. Step 4: Simplify right side
    33,597x = 5,341,709,569
  5. Step 5: Solve for x
    x = 5,341,709,569/33,597
  6. Step 6: Final answer
    x = 158,993.65

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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.