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Finding the Third Proportional to 18,642 and 27,978

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Solution

The third proportional to 18,642 and 27,978 is: 41,989.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,642 : 27,978 = 27,978 : x
  2. Step 2: Convert to fraction form
    18,642/27,978 = 27,978/x
  3. Step 3: Cross multiply
    18,642x = 27,978 × 27,978
  4. Step 4: Simplify right side
    18,642x = 782,768,484
  5. Step 5: Solve for x
    x = 782,768,484/18,642
  6. Step 6: Final answer
    x = 41,989.51

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.