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Finding the Third Proportional to 256,821 and 399,219

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Solution

The third proportional to 256,821 and 399,219 is: 620,571.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,821 : 399,219 = 399,219 : x
  2. Step 2: Convert to fraction form
    256,821/399,219 = 399,219/x
  3. Step 3: Cross multiply
    256,821x = 399,219 × 399,219
  4. Step 4: Simplify right side
    256,821x = 159,375,809,961
  5. Step 5: Solve for x
    x = 159,375,809,961/256,821
  6. Step 6: Final answer
    x = 620,571.57

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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.