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Finding the Third Proportional to 426,649 and 985,218

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Solution

The third proportional to 426,649 and 985,218 is: 2,275,065.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,649 : 985,218 = 985,218 : x
  2. Step 2: Convert to fraction form
    426,649/985,218 = 985,218/x
  3. Step 3: Cross multiply
    426,649x = 985,218 × 985,218
  4. Step 4: Simplify right side
    426,649x = 970,654,507,524
  5. Step 5: Solve for x
    x = 970,654,507,524/426,649
  6. Step 6: Final answer
    x = 2,275,065.70

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.