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Finding the Third Proportional to 485,634 and 990,546

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Solution

The third proportional to 485,634 and 990,546 is: 2,020,413.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,634 : 990,546 = 990,546 : x
  2. Step 2: Convert to fraction form
    485,634/990,546 = 990,546/x
  3. Step 3: Cross multiply
    485,634x = 990,546 × 990,546
  4. Step 4: Simplify right side
    485,634x = 981,181,378,116
  5. Step 5: Solve for x
    x = 981,181,378,116/485,634
  6. Step 6: Final answer
    x = 2,020,413.27

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.