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Finding the Third Proportional to 338,924 and 669,344

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Solution

The third proportional to 338,924 and 669,344 is: 1,321,893.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,924 : 669,344 = 669,344 : x
  2. Step 2: Convert to fraction form
    338,924/669,344 = 669,344/x
  3. Step 3: Cross multiply
    338,924x = 669,344 × 669,344
  4. Step 4: Simplify right side
    338,924x = 448,021,390,336
  5. Step 5: Solve for x
    x = 448,021,390,336/338,924
  6. Step 6: Final answer
    x = 1,321,893.38

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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.