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Finding the Third Proportional to 331,996 and 720,287

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Solution

The third proportional to 331,996 and 720,287 is: 1,562,709.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    331,996 : 720,287 = 720,287 : x
  2. Step 2: Convert to fraction form
    331,996/720,287 = 720,287/x
  3. Step 3: Cross multiply
    331,996x = 720,287 × 720,287
  4. Step 4: Simplify right side
    331,996x = 518,813,362,369
  5. Step 5: Solve for x
    x = 518,813,362,369/331,996
  6. Step 6: Final answer
    x = 1,562,709.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.