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Finding the Third Proportional to 206,629,770 and 449,579,039

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Solution

The third proportional to 206,629,770 and 449,579,039 is: 978,180,986.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,629,770 : 449,579,039 = 449,579,039 : x
  2. Step 2: Convert to fraction form
    206,629,770/449,579,039 = 449,579,039/x
  3. Step 3: Cross multiply
    206,629,770x = 449,579,039 × 449,579,039
  4. Step 4: Simplify right side
    206,629,770x = 202,121,312,308,163,520
  5. Step 5: Solve for x
    x = 202,121,312,308,163,520/206,629,770
  6. Step 6: Final answer
    x = 978,180,986.74

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.