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Finding the Third Proportional to 12,839 and 27,729

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Solution

The third proportional to 12,839 and 27,729 is: 59,887.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,839 : 27,729 = 27,729 : x
  2. Step 2: Convert to fraction form
    12,839/27,729 = 27,729/x
  3. Step 3: Cross multiply
    12,839x = 27,729 × 27,729
  4. Step 4: Simplify right side
    12,839x = 768,897,441
  5. Step 5: Solve for x
    x = 768,897,441/12,839
  6. Step 6: Final answer
    x = 59,887.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.