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Finding the Third Proportional to 217,338 and 327,385

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Solution

The third proportional to 217,338 and 327,385 is: 493,153.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,338 : 327,385 = 327,385 : x
  2. Step 2: Convert to fraction form
    217,338/327,385 = 327,385/x
  3. Step 3: Cross multiply
    217,338x = 327,385 × 327,385
  4. Step 4: Simplify right side
    217,338x = 107,180,938,225
  5. Step 5: Solve for x
    x = 107,180,938,225/217,338
  6. Step 6: Final answer
    x = 493,153.24

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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.