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Finding the Third Proportional to 309,040 and 641,766

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Solution

The third proportional to 309,040 and 641,766 is: 1,332,719.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,040 : 641,766 = 641,766 : x
  2. Step 2: Convert to fraction form
    309,040/641,766 = 641,766/x
  3. Step 3: Cross multiply
    309,040x = 641,766 × 641,766
  4. Step 4: Simplify right side
    309,040x = 411,863,598,756
  5. Step 5: Solve for x
    x = 411,863,598,756/309,040
  6. Step 6: Final answer
    x = 1,332,719.39

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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.