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Finding the Third Proportional to 150,429 and 330,378

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Solution

The third proportional to 150,429 and 330,378 is: 725,588.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,429 : 330,378 = 330,378 : x
  2. Step 2: Convert to fraction form
    150,429/330,378 = 330,378/x
  3. Step 3: Cross multiply
    150,429x = 330,378 × 330,378
  4. Step 4: Simplify right side
    150,429x = 109,149,622,884
  5. Step 5: Solve for x
    x = 109,149,622,884/150,429
  6. Step 6: Final answer
    x = 725,588.97

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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.