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Finding the Third Proportional to 12,747 and 27,447

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Solution

The third proportional to 12,747 and 27,447 is: 59,099.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,747 : 27,447 = 27,447 : x
  2. Step 2: Convert to fraction form
    12,747/27,447 = 27,447/x
  3. Step 3: Cross multiply
    12,747x = 27,447 × 27,447
  4. Step 4: Simplify right side
    12,747x = 753,337,809
  5. Step 5: Solve for x
    x = 753,337,809/12,747
  6. Step 6: Final answer
    x = 59,099.22

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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.