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Finding the Third Proportional to 101,978 and 218,718

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Solution

The third proportional to 101,978 and 218,718 is: 469,096.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,978 : 218,718 = 218,718 : x
  2. Step 2: Convert to fraction form
    101,978/218,718 = 218,718/x
  3. Step 3: Cross multiply
    101,978x = 218,718 × 218,718
  4. Step 4: Simplify right side
    101,978x = 47,837,563,524
  5. Step 5: Solve for x
    x = 47,837,563,524/101,978
  6. Step 6: Final answer
    x = 469,096.90

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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.