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Finding the Third Proportional to 20,978 and 43,666

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Solution

The third proportional to 20,978 and 43,666 is: 90,891.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,978 : 43,666 = 43,666 : x
  2. Step 2: Convert to fraction form
    20,978/43,666 = 43,666/x
  3. Step 3: Cross multiply
    20,978x = 43,666 × 43,666
  4. Step 4: Simplify right side
    20,978x = 1,906,719,556
  5. Step 5: Solve for x
    x = 1,906,719,556/20,978
  6. Step 6: Final answer
    x = 90,891.39

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These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.