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Finding the Third Proportional to 638,145,909 and 1,388,101,626

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Solution

The third proportional to 638,145,909 and 1,388,101,626 is: 3,019,413,110.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,145,909 : 1,388,101,626 = 1,388,101,626 : x
  2. Step 2: Convert to fraction form
    638,145,909/1,388,101,626 = 1,388,101,626/x
  3. Step 3: Cross multiply
    638,145,909x = 1,388,101,626 × 1,388,101,626
  4. Step 4: Simplify right side
    638,145,909x = 1,926,826,124,103,843,840
  5. Step 5: Solve for x
    x = 1,926,826,124,103,843,840/638,145,909
  6. Step 6: Final answer
    x = 3,019,413,110.59

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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.