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Finding the Third Proportional to 489,256 and 992,266

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Solution

The third proportional to 489,256 and 992,266 is: 2,012,426.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,256 : 992,266 = 992,266 : x
  2. Step 2: Convert to fraction form
    489,256/992,266 = 992,266/x
  3. Step 3: Cross multiply
    489,256x = 992,266 × 992,266
  4. Step 4: Simplify right side
    489,256x = 984,591,814,756
  5. Step 5: Solve for x
    x = 984,591,814,756/489,256
  6. Step 6: Final answer
    x = 2,012,426.65

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.