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Finding the Third Proportional to 218,868.75 and 327,817.13

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Solution

The third proportional to 218,868.75 and 327,817.13 is: 490,997.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    218,868.75 : 327,817.13 = 327,817.13 : x
  2. Step 2: Convert to fraction form
    218,868.75/327,817.13 = 327,817.13/x
  3. Step 3: Cross multiply
    218,868.75x = 327,817.13 × 327,817.13
  4. Step 4: Simplify right side
    218,868.75x = 107,464,067,443.27
  5. Step 5: Solve for x
    x = 107,464,067,443.27/218,868.75
  6. Step 6: Final answer
    x = 490,997.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.