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Finding the Third Proportional to 3,757,138.50 and 8,189,103.75

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Solution

The third proportional to 3,757,138.50 and 8,189,103.75 is: 17,849,067.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,757,138.50 : 8,189,103.75 = 8,189,103.75 : x
  2. Step 2: Convert to fraction form
    3,757,138.50/8,189,103.75 = 8,189,103.75/x
  3. Step 3: Cross multiply
    3,757,138.50x = 8,189,103.75 × 8,189,103.75
  4. Step 4: Simplify right side
    3,757,138.50x = 67,061,420,228,264.06
  5. Step 5: Solve for x
    x = 67,061,420,228,264.06/3,757,138.50
  6. Step 6: Final answer
    x = 17,849,067.91

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.