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Finding the Third Proportional to 305,864 and 673,936

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Solution

The third proportional to 305,864 and 673,936 is: 1,484,940.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,864 : 673,936 = 673,936 : x
  2. Step 2: Convert to fraction form
    305,864/673,936 = 673,936/x
  3. Step 3: Cross multiply
    305,864x = 673,936 × 673,936
  4. Step 4: Simplify right side
    305,864x = 454,189,732,096
  5. Step 5: Solve for x
    x = 454,189,732,096/305,864
  6. Step 6: Final answer
    x = 1,484,940.14

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.