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Finding the Third Proportional to 157,916 and 339,256

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Solution

The third proportional to 157,916 and 339,256 is: 728,834.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,916 : 339,256 = 339,256 : x
  2. Step 2: Convert to fraction form
    157,916/339,256 = 339,256/x
  3. Step 3: Cross multiply
    157,916x = 339,256 × 339,256
  4. Step 4: Simplify right side
    157,916x = 115,094,633,536
  5. Step 5: Solve for x
    x = 115,094,633,536/157,916
  6. Step 6: Final answer
    x = 728,834.53

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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.