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Finding the Third Proportional to 3,881,493 and 8,422,731

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Solution

The third proportional to 3,881,493 and 8,422,731 is: 18,277,090.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881,493 : 8,422,731 = 8,422,731 : x
  2. Step 2: Convert to fraction form
    3,881,493/8,422,731 = 8,422,731/x
  3. Step 3: Cross multiply
    3,881,493x = 8,422,731 × 8,422,731
  4. Step 4: Simplify right side
    3,881,493x = 70,942,397,498,361
  5. Step 5: Solve for x
    x = 70,942,397,498,361/3,881,493
  6. Step 6: Final answer
    x = 18,277,090.16

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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.