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Finding the Third Proportional to 259,456 and 331,530

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Solution

The third proportional to 259,456 and 331,530 is: 423,625.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    259,456 : 331,530 = 331,530 : x
  2. Step 2: Convert to fraction form
    259,456/331,530 = 331,530/x
  3. Step 3: Cross multiply
    259,456x = 331,530 × 331,530
  4. Step 4: Simplify right side
    259,456x = 109,912,140,900
  5. Step 5: Solve for x
    x = 109,912,140,900/259,456
  6. Step 6: Final answer
    x = 423,625.36

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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.