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Finding the Third Proportional to 331,684 and 498,497

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Solution

The third proportional to 331,684 and 498,497 is: 749,204.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,684 : 498,497 = 498,497 : x
  2. Step 2: Convert to fraction form
    331,684/498,497 = 498,497/x
  3. Step 3: Cross multiply
    331,684x = 498,497 × 498,497
  4. Step 4: Simplify right side
    331,684x = 248,499,259,009
  5. Step 5: Solve for x
    x = 248,499,259,009/331,684
  6. Step 6: Final answer
    x = 749,204.84

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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.