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Finding the Third Proportional to 8,751 and 12,519

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Solution

The third proportional to 8,751 and 12,519 is: 17,909.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,751 : 12,519 = 12,519 : x
  2. Step 2: Convert to fraction form
    8,751/12,519 = 12,519/x
  3. Step 3: Cross multiply
    8,751x = 12,519 × 12,519
  4. Step 4: Simplify right side
    8,751x = 156,725,361
  5. Step 5: Solve for x
    x = 156,725,361/8,751
  6. Step 6: Final answer
    x = 17,909.42

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.