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Finding the Third Proportional to 101,978 and 218,717

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Solution

The third proportional to 101,978 and 218,717 is: 469,092.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978 : 218,717 = 218,717 : x
  2. Step 2: Convert to fraction form
    101,978/218,717 = 218,717/x
  3. Step 3: Cross multiply
    101,978x = 218,717 × 218,717
  4. Step 4: Simplify right side
    101,978x = 47,837,126,089
  5. Step 5: Solve for x
    x = 47,837,126,089/101,978
  6. Step 6: Final answer
    x = 469,092.61

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.