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Finding the Third Proportional to 135,384,198 and 206,250,634

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Solution

The third proportional to 135,384,198 and 206,250,634 is: 314,211,884.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,384,198 : 206,250,634 = 206,250,634 : x
  2. Step 2: Convert to fraction form
    135,384,198/206,250,634 = 206,250,634/x
  3. Step 3: Cross multiply
    135,384,198x = 206,250,634 × 206,250,634
  4. Step 4: Simplify right side
    135,384,198x = 42,539,324,025,401,952
  5. Step 5: Solve for x
    x = 42,539,324,025,401,952/135,384,198
  6. Step 6: Final answer
    x = 314,211,884.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.