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Finding the Third Proportional to 220,002 and 330,489

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Solution

The third proportional to 220,002 and 330,489 is: 496,463.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,002 : 330,489 = 330,489 : x
  2. Step 2: Convert to fraction form
    220,002/330,489 = 330,489/x
  3. Step 3: Cross multiply
    220,002x = 330,489 × 330,489
  4. Step 4: Simplify right side
    220,002x = 109,222,979,121
  5. Step 5: Solve for x
    x = 109,222,979,121/220,002
  6. Step 6: Final answer
    x = 496,463.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.