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Finding the Third Proportional to 259,682 and 398,903

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Solution

The third proportional to 259,682 and 398,903 is: 612,763.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,682 : 398,903 = 398,903 : x
  2. Step 2: Convert to fraction form
    259,682/398,903 = 398,903/x
  3. Step 3: Cross multiply
    259,682x = 398,903 × 398,903
  4. Step 4: Simplify right side
    259,682x = 159,123,603,409
  5. Step 5: Solve for x
    x = 159,123,603,409/259,682
  6. Step 6: Final answer
    x = 612,763.32

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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.