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Finding the Third Proportional to 311,530,099 and 664,756,891

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Solution

The third proportional to 311,530,099 and 664,756,891 is: 1,418,488,054.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,530,099 : 664,756,891 = 664,756,891 : x
  2. Step 2: Convert to fraction form
    311,530,099/664,756,891 = 664,756,891/x
  3. Step 3: Cross multiply
    311,530,099x = 664,756,891 × 664,756,891
  4. Step 4: Simplify right side
    311,530,099x = 441,901,724,131,985,856
  5. Step 5: Solve for x
    x = 441,901,724,131,985,856/311,530,099
  6. Step 6: Final answer
    x = 1,418,488,054.77

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.