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Finding the Third Proportional to 16,978 and 36,860

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Solution

The third proportional to 16,978 and 36,860 is: 80,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,978 : 36,860 = 36,860 : x
  2. Step 2: Convert to fraction form
    16,978/36,860 = 36,860/x
  3. Step 3: Cross multiply
    16,978x = 36,860 × 36,860
  4. Step 4: Simplify right side
    16,978x = 1,358,659,600
  5. Step 5: Solve for x
    x = 1,358,659,600/16,978
  6. Step 6: Final answer
    x = 80,024.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.