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Finding the Third Proportional to 12,978 and 20,121.75

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Solution

The third proportional to 12,978 and 20,121.75 is: 31,197.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,978 : 20,121.75 = 20,121.75 : x
  2. Step 2: Convert to fraction form
    12,978/20,121.75 = 20,121.75/x
  3. Step 3: Cross multiply
    12,978x = 20,121.75 × 20,121.75
  4. Step 4: Simplify right side
    12,978x = 404,884,823.06
  5. Step 5: Solve for x
    x = 404,884,823.06/12,978
  6. Step 6: Final answer
    x = 31,197.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.