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Finding the Third Proportional to 6,381 and 7,002

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Solution

The third proportional to 6,381 and 7,002 is: 7,683.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,381 : 7,002 = 7,002 : x
  2. Step 2: Convert to fraction form
    6,381/7,002 = 7,002/x
  3. Step 3: Cross multiply
    6,381x = 7,002 × 7,002
  4. Step 4: Simplify right side
    6,381x = 49,028,004
  5. Step 5: Solve for x
    x = 49,028,004/6,381
  6. Step 6: Final answer
    x = 7,683.44

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Why These Related Problems?

These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.