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Finding the Third Proportional to 27,876 and 43,722

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Solution

The third proportional to 27,876 and 43,722 is: 68,575.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,876 : 43,722 = 43,722 : x
  2. Step 2: Convert to fraction form
    27,876/43,722 = 43,722/x
  3. Step 3: Cross multiply
    27,876x = 43,722 × 43,722
  4. Step 4: Simplify right side
    27,876x = 1,911,613,284
  5. Step 5: Solve for x
    x = 1,911,613,284/27,876
  6. Step 6: Final answer
    x = 68,575.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.