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Finding the Third Proportional to 3,829,771 and 8,297,811

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Solution

The third proportional to 3,829,771 and 8,297,811 is: 17,978,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,829,771 : 8,297,811 = 8,297,811 : x
  2. Step 2: Convert to fraction form
    3,829,771/8,297,811 = 8,297,811/x
  3. Step 3: Cross multiply
    3,829,771x = 8,297,811 × 8,297,811
  4. Step 4: Simplify right side
    3,829,771x = 68,853,667,391,721
  5. Step 5: Solve for x
    x = 68,853,667,391,721/3,829,771
  6. Step 6: Final answer
    x = 17,978,533.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.