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Finding the Third Proportional to 981,245,780 and 1,991,324,966

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Solution

The third proportional to 981,245,780 and 1,991,324,966 is: 4,041,163,998.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    981,245,780 : 1,991,324,966 = 1,991,324,966 : x
  2. Step 2: Convert to fraction form
    981,245,780/1,991,324,966 = 1,991,324,966/x
  3. Step 3: Cross multiply
    981,245,780x = 1,991,324,966 × 1,991,324,966
  4. Step 4: Simplify right side
    981,245,780x = 3,965,375,120,214,901,248
  5. Step 5: Solve for x
    x = 3,965,375,120,214,901,248/981,245,780
  6. Step 6: Final answer
    x = 4,041,163,998.91

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.