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Finding the Third Proportional to 218,067 and 309,244.50

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Solution

The third proportional to 218,067 and 309,244.50 is: 438,544.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,067 : 309,244.50 = 309,244.50 : x
  2. Step 2: Convert to fraction form
    218,067/309,244.50 = 309,244.50/x
  3. Step 3: Cross multiply
    218,067x = 309,244.50 × 309,244.50
  4. Step 4: Simplify right side
    218,067x = 95,632,160,780.25
  5. Step 5: Solve for x
    x = 95,632,160,780.25/218,067
  6. Step 6: Final answer
    x = 438,544.85

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.