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Finding the Third Proportional to 27,144 and 57,872

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Solution

The third proportional to 27,144 and 57,872 is: 123,385.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,144 : 57,872 = 57,872 : x
  2. Step 2: Convert to fraction form
    27,144/57,872 = 57,872/x
  3. Step 3: Cross multiply
    27,144x = 57,872 × 57,872
  4. Step 4: Simplify right side
    27,144x = 3,349,168,384
  5. Step 5: Solve for x
    x = 3,349,168,384/27,144
  6. Step 6: Final answer
    x = 123,385.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.