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Finding the Third Proportional to 27,384 and 39,131

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Solution

The third proportional to 27,384 and 39,131 is: 55,917.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,384 : 39,131 = 39,131 : x
  2. Step 2: Convert to fraction form
    27,384/39,131 = 39,131/x
  3. Step 3: Cross multiply
    27,384x = 39,131 × 39,131
  4. Step 4: Simplify right side
    27,384x = 1,531,235,161
  5. Step 5: Solve for x
    x = 1,531,235,161/27,384
  6. Step 6: Final answer
    x = 55,917.15

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.