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Finding the Third Proportional to 259,250 and 399,939

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Solution

The third proportional to 259,250 and 399,939 is: 616,976.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,250 : 399,939 = 399,939 : x
  2. Step 2: Convert to fraction form
    259,250/399,939 = 399,939/x
  3. Step 3: Cross multiply
    259,250x = 399,939 × 399,939
  4. Step 4: Simplify right side
    259,250x = 159,951,203,721
  5. Step 5: Solve for x
    x = 159,951,203,721/259,250
  6. Step 6: Final answer
    x = 616,976.68

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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.