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Finding the Third Proportional to 150,840 and 320,616

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Solution

The third proportional to 150,840 and 320,616 is: 681,481.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,840 : 320,616 = 320,616 : x
  2. Step 2: Convert to fraction form
    150,840/320,616 = 320,616/x
  3. Step 3: Cross multiply
    150,840x = 320,616 × 320,616
  4. Step 4: Simplify right side
    150,840x = 102,794,619,456
  5. Step 5: Solve for x
    x = 102,794,619,456/150,840
  6. Step 6: Final answer
    x = 681,481.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.