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Finding the Third Proportional to 490,682 and 999,406

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Solution

The third proportional to 490,682 and 999,406 is: 2,035,559.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,682 : 999,406 = 999,406 : x
  2. Step 2: Convert to fraction form
    490,682/999,406 = 999,406/x
  3. Step 3: Cross multiply
    490,682x = 999,406 × 999,406
  4. Step 4: Simplify right side
    490,682x = 998,812,352,836
  5. Step 5: Solve for x
    x = 998,812,352,836/490,682
  6. Step 6: Final answer
    x = 2,035,559.39

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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.