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Finding the Third Proportional to 8,978 and 19,666

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Solution

The third proportional to 8,978 and 19,666 is: 43,077.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,978 : 19,666 = 19,666 : x
  2. Step 2: Convert to fraction form
    8,978/19,666 = 19,666/x
  3. Step 3: Cross multiply
    8,978x = 19,666 × 19,666
  4. Step 4: Simplify right side
    8,978x = 386,751,556
  5. Step 5: Solve for x
    x = 386,751,556/8,978
  6. Step 6: Final answer
    x = 43,077.70

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.