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Finding the Third Proportional to 150,441 and 330,405

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Solution

The third proportional to 150,441 and 330,405 is: 725,649.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,441 : 330,405 = 330,405 : x
  2. Step 2: Convert to fraction form
    150,441/330,405 = 330,405/x
  3. Step 3: Cross multiply
    150,441x = 330,405 × 330,405
  4. Step 4: Simplify right side
    150,441x = 109,167,464,025
  5. Step 5: Solve for x
    x = 109,167,464,025/150,441
  6. Step 6: Final answer
    x = 725,649.68

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.