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Finding the Third Proportional to 218,335.50 and 331,441.88

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Solution

The third proportional to 218,335.50 and 331,441.88 is: 503,141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,335.50 : 331,441.88 = 331,441.88 : x
  2. Step 2: Convert to fraction form
    218,335.50/331,441.88 = 331,441.88/x
  3. Step 3: Cross multiply
    218,335.50x = 331,441.88 × 331,441.88
  4. Step 4: Simplify right side
    218,335.50x = 109,853,716,503.52
  5. Step 5: Solve for x
    x = 109,853,716,503.52/218,335.50
  6. Step 6: Final answer
    x = 503,141.80

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.