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Finding the Third Proportional to 166,760 and 339,688

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Solution

The third proportional to 166,760 and 339,688 is: 691,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,760 : 339,688 = 339,688 : x
  2. Step 2: Convert to fraction form
    166,760/339,688 = 339,688/x
  3. Step 3: Cross multiply
    166,760x = 339,688 × 339,688
  4. Step 4: Simplify right side
    166,760x = 115,387,937,344
  5. Step 5: Solve for x
    x = 115,387,937,344/166,760
  6. Step 6: Final answer
    x = 691,940.14

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.