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Finding the Third Proportional to 157,904 and 339,232

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Solution

The third proportional to 157,904 and 339,232 is: 728,786.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,904 : 339,232 = 339,232 : x
  2. Step 2: Convert to fraction form
    157,904/339,232 = 339,232/x
  3. Step 3: Cross multiply
    157,904x = 339,232 × 339,232
  4. Step 4: Simplify right side
    157,904x = 115,078,349,824
  5. Step 5: Solve for x
    x = 115,078,349,824/157,904
  6. Step 6: Final answer
    x = 728,786.79

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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.