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Finding the Third Proportional to 150,509 and 331,735

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Solution

The third proportional to 150,509 and 331,735 is: 731,172.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,509 : 331,735 = 331,735 : x
  2. Step 2: Convert to fraction form
    150,509/331,735 = 331,735/x
  3. Step 3: Cross multiply
    150,509x = 331,735 × 331,735
  4. Step 4: Simplify right side
    150,509x = 110,048,110,225
  5. Step 5: Solve for x
    x = 110,048,110,225/150,509
  6. Step 6: Final answer
    x = 731,172.95

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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.