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Finding the Third Proportional to 27,879 and 43,728

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Solution

The third proportional to 27,879 and 43,728 is: 68,587.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,879 : 43,728 = 43,728 : x
  2. Step 2: Convert to fraction form
    27,879/43,728 = 43,728/x
  3. Step 3: Cross multiply
    27,879x = 43,728 × 43,728
  4. Step 4: Simplify right side
    27,879x = 1,912,137,984
  5. Step 5: Solve for x
    x = 1,912,137,984/27,879
  6. Step 6: Final answer
    x = 68,587.04

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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.