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Finding the Third Proportional to 485,623 and 990,523

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Solution

The third proportional to 485,623 and 990,523 is: 2,020,365.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,623 : 990,523 = 990,523 : x
  2. Step 2: Convert to fraction form
    485,623/990,523 = 990,523/x
  3. Step 3: Cross multiply
    485,623x = 990,523 × 990,523
  4. Step 4: Simplify right side
    485,623x = 981,135,813,529
  5. Step 5: Solve for x
    x = 981,135,813,529/485,623
  6. Step 6: Final answer
    x = 2,020,365.21

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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.