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Finding the Third Proportional to 328,108 and 498,799

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Solution

The third proportional to 328,108 and 498,799 is: 758,288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,108 : 498,799 = 498,799 : x
  2. Step 2: Convert to fraction form
    328,108/498,799 = 498,799/x
  3. Step 3: Cross multiply
    328,108x = 498,799 × 498,799
  4. Step 4: Simplify right side
    328,108x = 248,800,442,401
  5. Step 5: Solve for x
    x = 248,800,442,401/328,108
  6. Step 6: Final answer
    x = 758,288.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.