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Finding the Third Proportional to 156,976 and 339,223

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Solution

The third proportional to 156,976 and 339,223 is: 733,056.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    156,976 : 339,223 = 339,223 : x
  2. Step 2: Convert to fraction form
    156,976/339,223 = 339,223/x
  3. Step 3: Cross multiply
    156,976x = 339,223 × 339,223
  4. Step 4: Simplify right side
    156,976x = 115,072,243,729
  5. Step 5: Solve for x
    x = 115,072,243,729/156,976
  6. Step 6: Final answer
    x = 733,056.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.