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Finding the Third Proportional to 6,921 and 9,399

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Solution

The third proportional to 6,921 and 9,399 is: 12,764.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,921 : 9,399 = 9,399 : x
  2. Step 2: Convert to fraction form
    6,921/9,399 = 9,399/x
  3. Step 3: Cross multiply
    6,921x = 9,399 × 9,399
  4. Step 4: Simplify right side
    6,921x = 88,341,201
  5. Step 5: Solve for x
    x = 88,341,201/6,921
  6. Step 6: Final answer
    x = 12,764.22

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.