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Finding the Third Proportional to 338,912 and 669,320

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Solution

The third proportional to 338,912 and 669,320 is: 1,321,845.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,912 : 669,320 = 669,320 : x
  2. Step 2: Convert to fraction form
    338,912/669,320 = 669,320/x
  3. Step 3: Cross multiply
    338,912x = 669,320 × 669,320
  4. Step 4: Simplify right side
    338,912x = 447,989,262,400
  5. Step 5: Solve for x
    x = 447,989,262,400/338,912
  6. Step 6: Final answer
    x = 1,321,845.38

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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.