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Finding the Third Proportional to 150,433 and 330,394

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Solution

The third proportional to 150,433 and 330,394 is: 725,639.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,433 : 330,394 = 330,394 : x
  2. Step 2: Convert to fraction form
    150,433/330,394 = 330,394/x
  3. Step 3: Cross multiply
    150,433x = 330,394 × 330,394
  4. Step 4: Simplify right side
    150,433x = 109,160,195,236
  5. Step 5: Solve for x
    x = 109,160,195,236/150,433
  6. Step 6: Final answer
    x = 725,639.95

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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.