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Finding the Third Proportional to 338,928 and 669,352

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Solution

The third proportional to 338,928 and 669,352 is: 1,321,909.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,928 : 669,352 = 669,352 : x
  2. Step 2: Convert to fraction form
    338,928/669,352 = 669,352/x
  3. Step 3: Cross multiply
    338,928x = 669,352 × 669,352
  4. Step 4: Simplify right side
    338,928x = 448,032,099,904
  5. Step 5: Solve for x
    x = 448,032,099,904/338,928
  6. Step 6: Final answer
    x = 1,321,909.37

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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.