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Finding the Third Proportional to 12,179 and 26,815

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Solution

The third proportional to 12,179 and 26,815 is: 59,039.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,179 : 26,815 = 26,815 : x
  2. Step 2: Convert to fraction form
    12,179/26,815 = 26,815/x
  3. Step 3: Cross multiply
    12,179x = 26,815 × 26,815
  4. Step 4: Simplify right side
    12,179x = 719,044,225
  5. Step 5: Solve for x
    x = 719,044,225/12,179
  6. Step 6: Final answer
    x = 59,039.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.