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Finding the Third Proportional to 99,126,891 and 206,399,991

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Solution

The third proportional to 99,126,891 and 206,399,991 is: 429,761,852.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,126,891 : 206,399,991 = 206,399,991 : x
  2. Step 2: Convert to fraction form
    99,126,891/206,399,991 = 206,399,991/x
  3. Step 3: Cross multiply
    99,126,891x = 206,399,991 × 206,399,991
  4. Step 4: Simplify right side
    99,126,891x = 42,600,956,284,800,080
  5. Step 5: Solve for x
    x = 42,600,956,284,800,080/99,126,891
  6. Step 6: Final answer
    x = 429,761,852.26

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.