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Finding the Third Proportional to 95,093 and 200,796

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Solution

The third proportional to 95,093 and 200,796 is: 423,995.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,093 : 200,796 = 200,796 : x
  2. Step 2: Convert to fraction form
    95,093/200,796 = 200,796/x
  3. Step 3: Cross multiply
    95,093x = 200,796 × 200,796
  4. Step 4: Simplify right side
    95,093x = 40,319,033,616
  5. Step 5: Solve for x
    x = 40,319,033,616/95,093
  6. Step 6: Final answer
    x = 423,995.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.