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Finding the Third Proportional to 259,227 and 399,897

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Solution

The third proportional to 259,227 and 399,897 is: 616,901.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,227 : 399,897 = 399,897 : x
  2. Step 2: Convert to fraction form
    259,227/399,897 = 399,897/x
  3. Step 3: Cross multiply
    259,227x = 399,897 × 399,897
  4. Step 4: Simplify right side
    259,227x = 159,917,610,609
  5. Step 5: Solve for x
    x = 159,917,610,609/259,227
  6. Step 6: Final answer
    x = 616,901.83

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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.