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Finding the Third Proportional to 69,879 and 150,823

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Solution

The third proportional to 69,879 and 150,823 is: 325,528.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,879 : 150,823 = 150,823 : x
  2. Step 2: Convert to fraction form
    69,879/150,823 = 150,823/x
  3. Step 3: Cross multiply
    69,879x = 150,823 × 150,823
  4. Step 4: Simplify right side
    69,879x = 22,747,577,329
  5. Step 5: Solve for x
    x = 22,747,577,329/69,879
  6. Step 6: Final answer
    x = 325,528.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.