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Finding the Third Proportional to 214,206 and 321,147

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Solution

The third proportional to 214,206 and 321,147 is: 481,477.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    214,206 : 321,147 = 321,147 : x
  2. Step 2: Convert to fraction form
    214,206/321,147 = 321,147/x
  3. Step 3: Cross multiply
    214,206x = 321,147 × 321,147
  4. Step 4: Simplify right side
    214,206x = 103,135,395,609
  5. Step 5: Solve for x
    x = 103,135,395,609/214,206
  6. Step 6: Final answer
    x = 481,477.62

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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.