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Finding the Third Proportional to 3,853,421 and 8,469,565

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Solution

The third proportional to 3,853,421 and 8,469,565 is: 18,615,544.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853,421 : 8,469,565 = 8,469,565 : x
  2. Step 2: Convert to fraction form
    3,853,421/8,469,565 = 8,469,565/x
  3. Step 3: Cross multiply
    3,853,421x = 8,469,565 × 8,469,565
  4. Step 4: Simplify right side
    3,853,421x = 71,733,531,289,225
  5. Step 5: Solve for x
    x = 71,733,531,289,225/3,853,421
  6. Step 6: Final answer
    x = 18,615,544.81

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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.