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Finding the Third Proportional to 377,885,389,198 and 832,795,854,811

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Solution

The third proportional to 377,885,389,198 and 832,795,854,811 is: 1,835,342,025,957.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,885,389,198 : 832,795,854,811 = 832,795,854,811 : x
  2. Step 2: Convert to fraction form
    377,885,389,198/832,795,854,811 = 832,795,854,811/x
  3. Step 3: Cross multiply
    377,885,389,198x = 832,795,854,811 × 832,795,854,811
  4. Step 4: Simplify right side
    377,885,389,198x = 693,548,935,790,384,138,682,368
  5. Step 5: Solve for x
    x = 693,548,935,790,384,138,682,368/377,885,389,198
  6. Step 6: Final answer
    x = 1,835,342,025,957.47

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.