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Finding the Third Proportional to 157,906 and 339,236

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Solution

The third proportional to 157,906 and 339,236 is: 728,794.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,906 : 339,236 = 339,236 : x
  2. Step 2: Convert to fraction form
    157,906/339,236 = 339,236/x
  3. Step 3: Cross multiply
    157,906x = 339,236 × 339,236
  4. Step 4: Simplify right side
    157,906x = 115,081,063,696
  5. Step 5: Solve for x
    x = 115,081,063,696/157,906
  6. Step 6: Final answer
    x = 728,794.75

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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.