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Finding the Third Proportional to 192,168 and 280,844

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Solution

The third proportional to 192,168 and 280,844 is: 410,439.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,168 : 280,844 = 280,844 : x
  2. Step 2: Convert to fraction form
    192,168/280,844 = 280,844/x
  3. Step 3: Cross multiply
    192,168x = 280,844 × 280,844
  4. Step 4: Simplify right side
    192,168x = 78,873,352,336
  5. Step 5: Solve for x
    x = 78,873,352,336/192,168
  6. Step 6: Final answer
    x = 410,439.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.