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Finding the Third Proportional to 290,505 and 629,266

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Solution

The third proportional to 290,505 and 629,266 is: 1,363,059.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,505 : 629,266 = 629,266 : x
  2. Step 2: Convert to fraction form
    290,505/629,266 = 629,266/x
  3. Step 3: Cross multiply
    290,505x = 629,266 × 629,266
  4. Step 4: Simplify right side
    290,505x = 395,975,698,756
  5. Step 5: Solve for x
    x = 395,975,698,756/290,505
  6. Step 6: Final answer
    x = 1,363,059.84

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.