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Finding the Third Proportional to 218,847 and 330,538.50

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Solution

The third proportional to 218,847 and 330,538.50 is: 499,233.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,847 : 330,538.50 = 330,538.50 : x
  2. Step 2: Convert to fraction form
    218,847/330,538.50 = 330,538.50/x
  3. Step 3: Cross multiply
    218,847x = 330,538.50 × 330,538.50
  4. Step 4: Simplify right side
    218,847x = 109,255,699,982.25
  5. Step 5: Solve for x
    x = 109,255,699,982.25/218,847
  6. Step 6: Final answer
    x = 499,233.25

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.