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Finding the Third Proportional to 3,647,129 and 8,442,447.88

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Solution

The third proportional to 3,647,129 and 8,442,447.88 is: 19,542,748.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647,129 : 8,442,447.88 = 8,442,447.88 : x
  2. Step 2: Convert to fraction form
    3,647,129/8,442,447.88 = 8,442,447.88/x
  3. Step 3: Cross multiply
    3,647,129x = 8,442,447.88 × 8,442,447.88
  4. Step 4: Simplify right side
    3,647,129x = 71,274,926,122,092.02
  5. Step 5: Solve for x
    x = 71,274,926,122,092.02/3,647,129
  6. Step 6: Final answer
    x = 19,542,748.86

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.