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Finding the Third Proportional to 12,749 and 27,689

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Solution

The third proportional to 12,749 and 27,689 is: 60,136.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,749 : 27,689 = 27,689 : x
  2. Step 2: Convert to fraction form
    12,749/27,689 = 27,689/x
  3. Step 3: Cross multiply
    12,749x = 27,689 × 27,689
  4. Step 4: Simplify right side
    12,749x = 766,680,721
  5. Step 5: Solve for x
    x = 766,680,721/12,749
  6. Step 6: Final answer
    x = 60,136.54

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.