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Finding the Third Proportional to 259,774 and 399,027

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Solution

The third proportional to 259,774 and 399,027 is: 612,927.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,774 : 399,027 = 399,027 : x
  2. Step 2: Convert to fraction form
    259,774/399,027 = 399,027/x
  3. Step 3: Cross multiply
    259,774x = 399,027 × 399,027
  4. Step 4: Simplify right side
    259,774x = 159,222,546,729
  5. Step 5: Solve for x
    x = 159,222,546,729/259,774
  6. Step 6: Final answer
    x = 612,927.19

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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.