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Finding the Third Proportional to 7,997 and 12,519

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Solution

The third proportional to 7,997 and 12,519 is: 19,598.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,997 : 12,519 = 12,519 : x
  2. Step 2: Convert to fraction form
    7,997/12,519 = 12,519/x
  3. Step 3: Cross multiply
    7,997x = 12,519 × 12,519
  4. Step 4: Simplify right side
    7,997x = 156,725,361
  5. Step 5: Solve for x
    x = 156,725,361/7,997
  6. Step 6: Final answer
    x = 19,598.02

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.