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Finding the Third Proportional to 3,252 and 6,992

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Solution

The third proportional to 3,252 and 6,992 is: 15,033.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,252 : 6,992 = 6,992 : x
  2. Step 2: Convert to fraction form
    3,252/6,992 = 6,992/x
  3. Step 3: Cross multiply
    3,252x = 6,992 × 6,992
  4. Step 4: Simplify right side
    3,252x = 48,888,064
  5. Step 5: Solve for x
    x = 48,888,064/3,252
  6. Step 6: Final answer
    x = 15,033.23

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.