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Finding the Third Proportional to 331,986 and 498,309

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Solution

The third proportional to 331,986 and 498,309 is: 747,958.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,986 : 498,309 = 498,309 : x
  2. Step 2: Convert to fraction form
    331,986/498,309 = 498,309/x
  3. Step 3: Cross multiply
    331,986x = 498,309 × 498,309
  4. Step 4: Simplify right side
    331,986x = 248,311,859,481
  5. Step 5: Solve for x
    x = 248,311,859,481/331,986
  6. Step 6: Final answer
    x = 747,958.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.