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Finding the Third Proportional to 3,770,231 and 8,138,161

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Solution

The third proportional to 3,770,231 and 8,138,161 is: 17,566,473.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770,231 : 8,138,161 = 8,138,161 : x
  2. Step 2: Convert to fraction form
    3,770,231/8,138,161 = 8,138,161/x
  3. Step 3: Cross multiply
    3,770,231x = 8,138,161 × 8,138,161
  4. Step 4: Simplify right side
    3,770,231x = 66,229,664,461,921
  5. Step 5: Solve for x
    x = 66,229,664,461,921/3,770,231
  6. Step 6: Final answer
    x = 17,566,473.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.