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Finding the Third Proportional to 3,853,431 and 8,469,585

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Solution

The third proportional to 3,853,431 and 8,469,585 is: 18,615,584.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853,431 : 8,469,585 = 8,469,585 : x
  2. Step 2: Convert to fraction form
    3,853,431/8,469,585 = 8,469,585/x
  3. Step 3: Cross multiply
    3,853,431x = 8,469,585 × 8,469,585
  4. Step 4: Simplify right side
    3,853,431x = 71,733,870,072,225
  5. Step 5: Solve for x
    x = 71,733,870,072,225/3,853,431
  6. Step 6: Final answer
    x = 18,615,584.42

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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.