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Finding the Third Proportional to 338,872 and 705,836

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Solution

The third proportional to 338,872 and 705,836 is: 1,470,184.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,872 : 705,836 = 705,836 : x
  2. Step 2: Convert to fraction form
    338,872/705,836 = 705,836/x
  3. Step 3: Cross multiply
    338,872x = 705,836 × 705,836
  4. Step 4: Simplify right side
    338,872x = 498,204,458,896
  5. Step 5: Solve for x
    x = 498,204,458,896/338,872
  6. Step 6: Final answer
    x = 1,470,184.79

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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.