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Finding the Third Proportional to 338,906 and 669,307

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Solution

The third proportional to 338,906 and 669,307 is: 1,321,817.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,906 : 669,307 = 669,307 : x
  2. Step 2: Convert to fraction form
    338,906/669,307 = 669,307/x
  3. Step 3: Cross multiply
    338,906x = 669,307 × 669,307
  4. Step 4: Simplify right side
    338,906x = 447,971,860,249
  5. Step 5: Solve for x
    x = 447,971,860,249/338,906
  6. Step 6: Final answer
    x = 1,321,817.44

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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.