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Finding the Third Proportional to 217,781 and 327,938.50

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Solution

The third proportional to 217,781 and 327,938.50 is: 493,815.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,781 : 327,938.50 = 327,938.50 : x
  2. Step 2: Convert to fraction form
    217,781/327,938.50 = 327,938.50/x
  3. Step 3: Cross multiply
    217,781x = 327,938.50 × 327,938.50
  4. Step 4: Simplify right side
    217,781x = 107,543,659,782.25
  5. Step 5: Solve for x
    x = 107,543,659,782.25/217,781
  6. Step 6: Final answer
    x = 493,815.62

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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.