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Finding the Third Proportional to 11,978 and 18,840

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Solution

The third proportional to 11,978 and 18,840 is: 29,633.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,978 : 18,840 = 18,840 : x
  2. Step 2: Convert to fraction form
    11,978/18,840 = 18,840/x
  3. Step 3: Cross multiply
    11,978x = 18,840 × 18,840
  4. Step 4: Simplify right side
    11,978x = 354,945,600
  5. Step 5: Solve for x
    x = 354,945,600/11,978
  6. Step 6: Final answer
    x = 29,633.13

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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.