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Finding the Third Proportional to 157,891 and 339,206

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Solution

The third proportional to 157,891 and 339,206 is: 728,735.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,891 : 339,206 = 339,206 : x
  2. Step 2: Convert to fraction form
    157,891/339,206 = 339,206/x
  3. Step 3: Cross multiply
    157,891x = 339,206 × 339,206
  4. Step 4: Simplify right side
    157,891x = 115,060,710,436
  5. Step 5: Solve for x
    x = 115,060,710,436/157,891
  6. Step 6: Final answer
    x = 728,735.08

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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.