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Finding the Third Proportional to 3,881,549 and 8,422,843

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Solution

The third proportional to 3,881,549 and 8,422,843 is: 18,277,312.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,881,549 : 8,422,843 = 8,422,843 : x
  2. Step 2: Convert to fraction form
    3,881,549/8,422,843 = 8,422,843/x
  3. Step 3: Cross multiply
    3,881,549x = 8,422,843 × 8,422,843
  4. Step 4: Simplify right side
    3,881,549x = 70,944,284,202,649
  5. Step 5: Solve for x
    x = 70,944,284,202,649/3,881,549
  6. Step 6: Final answer
    x = 18,277,312.54

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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.