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Finding the Third Proportional to 27,978 and 43,668

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Solution

The third proportional to 27,978 and 43,668 is: 68,156.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,978 : 43,668 = 43,668 : x
  2. Step 2: Convert to fraction form
    27,978/43,668 = 43,668/x
  3. Step 3: Cross multiply
    27,978x = 43,668 × 43,668
  4. Step 4: Simplify right side
    27,978x = 1,906,894,224
  5. Step 5: Solve for x
    x = 1,906,894,224/27,978
  6. Step 6: Final answer
    x = 68,156.92

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.