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Finding the Third Proportional to 307,006 and 629,212

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Solution

The third proportional to 307,006 and 629,212 is: 1,289,576.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    307,006 : 629,212 = 629,212 : x
  2. Step 2: Convert to fraction form
    307,006/629,212 = 629,212/x
  3. Step 3: Cross multiply
    307,006x = 629,212 × 629,212
  4. Step 4: Simplify right side
    307,006x = 395,907,740,944
  5. Step 5: Solve for x
    x = 395,907,740,944/307,006
  6. Step 6: Final answer
    x = 1,289,576.56

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.