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Finding the Third Proportional to 138,690 and 327,285

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Solution

The third proportional to 138,690 and 327,285 is: 772,337.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,690 : 327,285 = 327,285 : x
  2. Step 2: Convert to fraction form
    138,690/327,285 = 327,285/x
  3. Step 3: Cross multiply
    138,690x = 327,285 × 327,285
  4. Step 4: Simplify right side
    138,690x = 107,115,471,225
  5. Step 5: Solve for x
    x = 107,115,471,225/138,690
  6. Step 6: Final answer
    x = 772,337.38

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.