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Finding the Third Proportional to 11,802 and 27,294

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Solution

The third proportional to 11,802 and 27,294 is: 63,121.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802 : 27,294 = 27,294 : x
  2. Step 2: Convert to fraction form
    11,802/27,294 = 27,294/x
  3. Step 3: Cross multiply
    11,802x = 27,294 × 27,294
  4. Step 4: Simplify right side
    11,802x = 744,962,436
  5. Step 5: Solve for x
    x = 744,962,436/11,802
  6. Step 6: Final answer
    x = 63,121.71

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.