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Finding the Third Proportional to 8,543,972 and 17,405,198

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Solution

The third proportional to 8,543,972 and 17,405,198 is: 35,456,684.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,543,972 : 17,405,198 = 17,405,198 : x
  2. Step 2: Convert to fraction form
    8,543,972/17,405,198 = 17,405,198/x
  3. Step 3: Cross multiply
    8,543,972x = 17,405,198 × 17,405,198
  4. Step 4: Simplify right side
    8,543,972x = 302,940,917,419,204
  5. Step 5: Solve for x
    x = 302,940,917,419,204/8,543,972
  6. Step 6: Final answer
    x = 35,456,684.25

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.