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Finding the Third Proportional to 259,716 and 331,860

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Solution

The third proportional to 259,716 and 331,860 is: 424,044.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,716 : 331,860 = 331,860 : x
  2. Step 2: Convert to fraction form
    259,716/331,860 = 331,860/x
  3. Step 3: Cross multiply
    259,716x = 331,860 × 331,860
  4. Step 4: Simplify right side
    259,716x = 110,131,059,600
  5. Step 5: Solve for x
    x = 110,131,059,600/259,716
  6. Step 6: Final answer
    x = 424,044.19

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.