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Finding the Third Proportional to 256,372 and 397,997

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Solution

The third proportional to 256,372 and 397,997 is: 617,858.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,372 : 397,997 = 397,997 : x
  2. Step 2: Convert to fraction form
    256,372/397,997 = 397,997/x
  3. Step 3: Cross multiply
    256,372x = 397,997 × 397,997
  4. Step 4: Simplify right side
    256,372x = 158,401,612,009
  5. Step 5: Solve for x
    x = 158,401,612,009/256,372
  6. Step 6: Final answer
    x = 617,858.47

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.