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Finding the Third Proportional to 300,832 and 641,696

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Solution

The third proportional to 300,832 and 641,696 is: 1,368,783.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,832 : 641,696 = 641,696 : x
  2. Step 2: Convert to fraction form
    300,832/641,696 = 641,696/x
  3. Step 3: Cross multiply
    300,832x = 641,696 × 641,696
  4. Step 4: Simplify right side
    300,832x = 411,773,756,416
  5. Step 5: Solve for x
    x = 411,773,756,416/300,832
  6. Step 6: Final answer
    x = 1,368,783.10

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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.