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Finding the Third Proportional to 490,689 and 999,423

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Solution

The third proportional to 490,689 and 999,423 is: 2,035,599.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,689 : 999,423 = 999,423 : x
  2. Step 2: Convert to fraction form
    490,689/999,423 = 999,423/x
  3. Step 3: Cross multiply
    490,689x = 999,423 × 999,423
  4. Step 4: Simplify right side
    490,689x = 998,846,332,929
  5. Step 5: Solve for x
    x = 998,846,332,929/490,689
  6. Step 6: Final answer
    x = 2,035,599.60

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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.