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Finding the Third Proportional to 149,568 and 330,228

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Solution

The third proportional to 149,568 and 330,228 is: 729,103.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,568 : 330,228 = 330,228 : x
  2. Step 2: Convert to fraction form
    149,568/330,228 = 330,228/x
  3. Step 3: Cross multiply
    149,568x = 330,228 × 330,228
  4. Step 4: Simplify right side
    149,568x = 109,050,531,984
  5. Step 5: Solve for x
    x = 109,050,531,984/149,568
  6. Step 6: Final answer
    x = 729,103.36

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.