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Finding the Third Proportional to 4,489,569 and 9,876,355

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Solution

The third proportional to 4,489,569 and 9,876,355 is: 21,726,448.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,489,569 : 9,876,355 = 9,876,355 : x
  2. Step 2: Convert to fraction form
    4,489,569/9,876,355 = 9,876,355/x
  3. Step 3: Cross multiply
    4,489,569x = 9,876,355 × 9,876,355
  4. Step 4: Simplify right side
    4,489,569x = 97,542,388,086,025
  5. Step 5: Solve for x
    x = 97,542,388,086,025/4,489,569
  6. Step 6: Final answer
    x = 21,726,448.15

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.