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Finding the Third Proportional to 3,278 and 6,394

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Solution

The third proportional to 3,278 and 6,394 is: 12,472.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278 : 6,394 = 6,394 : x
  2. Step 2: Convert to fraction form
    3,278/6,394 = 6,394/x
  3. Step 3: Cross multiply
    3,278x = 6,394 × 6,394
  4. Step 4: Simplify right side
    3,278x = 40,883,236
  5. Step 5: Solve for x
    x = 40,883,236/3,278
  6. Step 6: Final answer
    x = 12,472.01

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.