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Finding the Third Proportional to 259,244 and 399,930

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Solution

The third proportional to 259,244 and 399,930 is: 616,963.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,244 : 399,930 = 399,930 : x
  2. Step 2: Convert to fraction form
    259,244/399,930 = 399,930/x
  3. Step 3: Cross multiply
    259,244x = 399,930 × 399,930
  4. Step 4: Simplify right side
    259,244x = 159,944,004,900
  5. Step 5: Solve for x
    x = 159,944,004,900/259,244
  6. Step 6: Final answer
    x = 616,963.19

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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.