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Finding the Third Proportional to 155,631 and 331,998

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Solution

The third proportional to 155,631 and 331,998 is: 708,230.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,631 : 331,998 = 331,998 : x
  2. Step 2: Convert to fraction form
    155,631/331,998 = 331,998/x
  3. Step 3: Cross multiply
    155,631x = 331,998 × 331,998
  4. Step 4: Simplify right side
    155,631x = 110,222,672,004
  5. Step 5: Solve for x
    x = 110,222,672,004/155,631
  6. Step 6: Final answer
    x = 708,230.83

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.