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Finding the Third Proportional to 27,892 and 39,760

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Solution

The third proportional to 27,892 and 39,760 is: 56,677.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,892 : 39,760 = 39,760 : x
  2. Step 2: Convert to fraction form
    27,892/39,760 = 39,760/x
  3. Step 3: Cross multiply
    27,892x = 39,760 × 39,760
  4. Step 4: Simplify right side
    27,892x = 1,580,857,600
  5. Step 5: Solve for x
    x = 1,580,857,600/27,892
  6. Step 6: Final answer
    x = 56,677.81

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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.