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Finding the Third Proportional to 498,285,198 and 1,090,410,327

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Solution

The third proportional to 498,285,198 and 1,090,410,327 is: 2,386,172,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    498,285,198 : 1,090,410,327 = 1,090,410,327 : x
  2. Step 2: Convert to fraction form
    498,285,198/1,090,410,327 = 1,090,410,327/x
  3. Step 3: Cross multiply
    498,285,198x = 1,090,410,327 × 1,090,410,327
  4. Step 4: Simplify right side
    498,285,198x = 1,188,994,681,228,247,040
  5. Step 5: Solve for x
    x = 1,188,994,681,228,247,040/498,285,198
  6. Step 6: Final answer
    x = 2,386,172,990.89

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.