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Finding the Third Proportional to 300,828 and 641,688

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Solution

The third proportional to 300,828 and 641,688 is: 1,368,767.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,828 : 641,688 = 641,688 : x
  2. Step 2: Convert to fraction form
    300,828/641,688 = 641,688/x
  3. Step 3: Cross multiply
    300,828x = 641,688 × 641,688
  4. Step 4: Simplify right side
    300,828x = 411,763,489,344
  5. Step 5: Solve for x
    x = 411,763,489,344/300,828
  6. Step 6: Final answer
    x = 1,368,767.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.