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Finding the Third Proportional to 1,840,480 and 3,770,198

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Solution

The third proportional to 1,840,480 and 3,770,198 is: 7,723,198.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,840,480 : 3,770,198 = 3,770,198 : x
  2. Step 2: Convert to fraction form
    1,840,480/3,770,198 = 3,770,198/x
  3. Step 3: Cross multiply
    1,840,480x = 3,770,198 × 3,770,198
  4. Step 4: Simplify right side
    1,840,480x = 14,214,392,959,204
  5. Step 5: Solve for x
    x = 14,214,392,959,204/1,840,480
  6. Step 6: Final answer
    x = 7,723,198.82

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.