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Finding the Third Proportional to 259,058 and 399,662

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Solution

The third proportional to 259,058 and 399,662 is: 616,578.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,058 : 399,662 = 399,662 : x
  2. Step 2: Convert to fraction form
    259,058/399,662 = 399,662/x
  3. Step 3: Cross multiply
    259,058x = 399,662 × 399,662
  4. Step 4: Simplify right side
    259,058x = 159,729,714,244
  5. Step 5: Solve for x
    x = 159,729,714,244/259,058
  6. Step 6: Final answer
    x = 616,578.97

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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.