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Finding the Third Proportional to 490,691 and 999,427

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Solution

The third proportional to 490,691 and 999,427 is: 2,035,607.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,691 : 999,427 = 999,427 : x
  2. Step 2: Convert to fraction form
    490,691/999,427 = 999,427/x
  3. Step 3: Cross multiply
    490,691x = 999,427 × 999,427
  4. Step 4: Simplify right side
    490,691x = 998,854,328,329
  5. Step 5: Solve for x
    x = 998,854,328,329/490,691
  6. Step 6: Final answer
    x = 2,035,607.60

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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.