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Finding the Third Proportional to 308,912 and 676,868

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Solution

The third proportional to 308,912 and 676,868 is: 1,483,109.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,912 : 676,868 = 676,868 : x
  2. Step 2: Convert to fraction form
    308,912/676,868 = 676,868/x
  3. Step 3: Cross multiply
    308,912x = 676,868 × 676,868
  4. Step 4: Simplify right side
    308,912x = 458,150,289,424
  5. Step 5: Solve for x
    x = 458,150,289,424/308,912
  6. Step 6: Final answer
    x = 1,483,109.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.