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Finding the Third Proportional to 157,769 and 339,595

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Solution

The third proportional to 157,769 and 339,595 is: 730,972.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,769 : 339,595 = 339,595 : x
  2. Step 2: Convert to fraction form
    157,769/339,595 = 339,595/x
  3. Step 3: Cross multiply
    157,769x = 339,595 × 339,595
  4. Step 4: Simplify right side
    157,769x = 115,324,764,025
  5. Step 5: Solve for x
    x = 115,324,764,025/157,769
  6. Step 6: Final answer
    x = 730,972.27

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.