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Finding the Third Proportional to 256,769 and 399,144

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Solution

The third proportional to 256,769 and 399,144 is: 620,464.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,769 : 399,144 = 399,144 : x
  2. Step 2: Convert to fraction form
    256,769/399,144 = 399,144/x
  3. Step 3: Cross multiply
    256,769x = 399,144 × 399,144
  4. Step 4: Simplify right side
    256,769x = 159,315,932,736
  5. Step 5: Solve for x
    x = 159,315,932,736/256,769
  6. Step 6: Final answer
    x = 620,464.05

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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.