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Finding the Third Proportional to 309,042 and 641,769

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Solution

The third proportional to 309,042 and 641,769 is: 1,332,723.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,042 : 641,769 = 641,769 : x
  2. Step 2: Convert to fraction form
    309,042/641,769 = 641,769/x
  3. Step 3: Cross multiply
    309,042x = 641,769 × 641,769
  4. Step 4: Simplify right side
    309,042x = 411,867,449,361
  5. Step 5: Solve for x
    x = 411,867,449,361/309,042
  6. Step 6: Final answer
    x = 1,332,723.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.