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Finding the Third Proportional to 171,193 and 257,307

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Solution

The third proportional to 171,193 and 257,307 is: 386,738.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    171,193 : 257,307 = 257,307 : x
  2. Step 2: Convert to fraction form
    171,193/257,307 = 257,307/x
  3. Step 3: Cross multiply
    171,193x = 257,307 × 257,307
  4. Step 4: Simplify right side
    171,193x = 66,206,892,249
  5. Step 5: Solve for x
    x = 66,206,892,249/171,193
  6. Step 6: Final answer
    x = 386,738.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.