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Finding the Third Proportional to 217,785 and 327,954

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Solution

The third proportional to 217,785 and 327,954 is: 493,853.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,785 : 327,954 = 327,954 : x
  2. Step 2: Convert to fraction form
    217,785/327,954 = 327,954/x
  3. Step 3: Cross multiply
    217,785x = 327,954 × 327,954
  4. Step 4: Simplify right side
    217,785x = 107,553,826,116
  5. Step 5: Solve for x
    x = 107,553,826,116/217,785
  6. Step 6: Final answer
    x = 493,853.23

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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.