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Finding the Third Proportional to 304,486 and 641,796

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Solution

The third proportional to 304,486 and 641,796 is: 1,352,778.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,486 : 641,796 = 641,796 : x
  2. Step 2: Convert to fraction form
    304,486/641,796 = 641,796/x
  3. Step 3: Cross multiply
    304,486x = 641,796 × 641,796
  4. Step 4: Simplify right side
    304,486x = 411,902,105,616
  5. Step 5: Solve for x
    x = 411,902,105,616/304,486
  6. Step 6: Final answer
    x = 1,352,778.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.