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Finding the Third Proportional to 159,686 and 347,722

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Solution

The third proportional to 159,686 and 347,722 is: 757,177.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,686 : 347,722 = 347,722 : x
  2. Step 2: Convert to fraction form
    159,686/347,722 = 347,722/x
  3. Step 3: Cross multiply
    159,686x = 347,722 × 347,722
  4. Step 4: Simplify right side
    159,686x = 120,910,589,284
  5. Step 5: Solve for x
    x = 120,910,589,284/159,686
  6. Step 6: Final answer
    x = 757,177.14

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.