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Finding the Third Proportional to 213,446 and 309,147

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Solution

The third proportional to 213,446 and 309,147 is: 447,756.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,446 : 309,147 = 309,147 : x
  2. Step 2: Convert to fraction form
    213,446/309,147 = 309,147/x
  3. Step 3: Cross multiply
    213,446x = 309,147 × 309,147
  4. Step 4: Simplify right side
    213,446x = 95,571,867,609
  5. Step 5: Solve for x
    x = 95,571,867,609/213,446
  6. Step 6: Final answer
    x = 447,756.66

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.