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Finding the Third Proportional to 256,910 and 395,193

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Solution

The third proportional to 256,910 and 395,193 is: 607,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,910 : 395,193 = 395,193 : x
  2. Step 2: Convert to fraction form
    256,910/395,193 = 395,193/x
  3. Step 3: Cross multiply
    256,910x = 395,193 × 395,193
  4. Step 4: Simplify right side
    256,910x = 156,177,507,249
  5. Step 5: Solve for x
    x = 156,177,507,249/256,910
  6. Step 6: Final answer
    x = 607,907.47

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.