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Finding the Third Proportional to 338,845 and 705,782

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Solution

The third proportional to 338,845 and 705,782 is: 1,470,076.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,845 : 705,782 = 705,782 : x
  2. Step 2: Convert to fraction form
    338,845/705,782 = 705,782/x
  3. Step 3: Cross multiply
    338,845x = 705,782 × 705,782
  4. Step 4: Simplify right side
    338,845x = 498,128,231,524
  5. Step 5: Solve for x
    x = 498,128,231,524/338,845
  6. Step 6: Final answer
    x = 1,470,076.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.