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Finding the Third Proportional to 220,398 and 327,357

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Solution

The third proportional to 220,398 and 327,357 is: 486,223.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,398 : 327,357 = 327,357 : x
  2. Step 2: Convert to fraction form
    220,398/327,357 = 327,357/x
  3. Step 3: Cross multiply
    220,398x = 327,357 × 327,357
  4. Step 4: Simplify right side
    220,398x = 107,162,605,449
  5. Step 5: Solve for x
    x = 107,162,605,449/220,398
  6. Step 6: Final answer
    x = 486,223.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.