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Finding the Third Proportional to 299,774 and 620,678

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Solution

The third proportional to 299,774 and 620,678 is: 1,285,105.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,774 : 620,678 = 620,678 : x
  2. Step 2: Convert to fraction form
    299,774/620,678 = 620,678/x
  3. Step 3: Cross multiply
    299,774x = 620,678 × 620,678
  4. Step 4: Simplify right side
    299,774x = 385,241,179,684
  5. Step 5: Solve for x
    x = 385,241,179,684/299,774
  6. Step 6: Final answer
    x = 1,285,105.38

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.