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Finding the Third Proportional to 149,205,923 and 321,086,669

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Solution

The third proportional to 149,205,923 and 321,086,669 is: 690,968,876.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,205,923 : 321,086,669 = 321,086,669 : x
  2. Step 2: Convert to fraction form
    149,205,923/321,086,669 = 321,086,669/x
  3. Step 3: Cross multiply
    149,205,923x = 321,086,669 × 321,086,669
  4. Step 4: Simplify right side
    149,205,923x = 103,096,649,009,515,568
  5. Step 5: Solve for x
    x = 103,096,649,009,515,568/149,205,923
  6. Step 6: Final answer
    x = 690,968,876.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.