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Finding the Third Proportional to 206,491,488 and 449,397,960

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Solution

The third proportional to 206,491,488 and 449,397,960 is: 978,047,707.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,491,488 : 449,397,960 = 449,397,960 : x
  2. Step 2: Convert to fraction form
    206,491,488/449,397,960 = 449,397,960/x
  3. Step 3: Cross multiply
    206,491,488x = 449,397,960 × 449,397,960
  4. Step 4: Simplify right side
    206,491,488x = 201,958,526,452,161,600
  5. Step 5: Solve for x
    x = 201,958,526,452,161,600/206,491,488
  6. Step 6: Final answer
    x = 978,047,707.48

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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.