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Finding the Third Proportional to 256,371 and 397,996

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Solution

The third proportional to 256,371 and 397,996 is: 617,857.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,371 : 397,996 = 397,996 : x
  2. Step 2: Convert to fraction form
    256,371/397,996 = 397,996/x
  3. Step 3: Cross multiply
    256,371x = 397,996 × 397,996
  4. Step 4: Simplify right side
    256,371x = 158,400,816,016
  5. Step 5: Solve for x
    x = 158,400,816,016/256,371
  6. Step 6: Final answer
    x = 617,857.78

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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.