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Finding the Third Proportional to 5,952 and 8,463

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Solution

The third proportional to 5,952 and 8,463 is: 12,033.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,952 : 8,463 = 8,463 : x
  2. Step 2: Convert to fraction form
    5,952/8,463 = 8,463/x
  3. Step 3: Cross multiply
    5,952x = 8,463 × 8,463
  4. Step 4: Simplify right side
    5,952x = 71,622,369
  5. Step 5: Solve for x
    x = 71,622,369/5,952
  6. Step 6: Final answer
    x = 12,033.33

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.