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Finding the Third Proportional to 338,930 and 669,356

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Solution

The third proportional to 338,930 and 669,356 is: 1,321,917.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,930 : 669,356 = 669,356 : x
  2. Step 2: Convert to fraction form
    338,930/669,356 = 669,356/x
  3. Step 3: Cross multiply
    338,930x = 669,356 × 669,356
  4. Step 4: Simplify right side
    338,930x = 448,037,454,736
  5. Step 5: Solve for x
    x = 448,037,454,736/338,930
  6. Step 6: Final answer
    x = 1,321,917.37

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.