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Finding the Third Proportional to 338,922 and 669,340

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Solution

The third proportional to 338,922 and 669,340 is: 1,321,885.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,922 : 669,340 = 669,340 : x
  2. Step 2: Convert to fraction form
    338,922/669,340 = 669,340/x
  3. Step 3: Cross multiply
    338,922x = 669,340 × 669,340
  4. Step 4: Simplify right side
    338,922x = 448,016,035,600
  5. Step 5: Solve for x
    x = 448,016,035,600/338,922
  6. Step 6: Final answer
    x = 1,321,885.38

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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.