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Finding the Third Proportional to 290,444 and 629,138

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Solution

The third proportional to 290,444 and 629,138 is: 1,362,791.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,444 : 629,138 = 629,138 : x
  2. Step 2: Convert to fraction form
    290,444/629,138 = 629,138/x
  3. Step 3: Cross multiply
    290,444x = 629,138 × 629,138
  4. Step 4: Simplify right side
    290,444x = 395,814,623,044
  5. Step 5: Solve for x
    x = 395,814,623,044/290,444
  6. Step 6: Final answer
    x = 1,362,791.53

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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.