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Finding the Third Proportional to 290,452 and 629,152

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Solution

The third proportional to 290,452 and 629,152 is: 1,362,814.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,452 : 629,152 = 629,152 : x
  2. Step 2: Convert to fraction form
    290,452/629,152 = 629,152/x
  3. Step 3: Cross multiply
    290,452x = 629,152 × 629,152
  4. Step 4: Simplify right side
    290,452x = 395,832,239,104
  5. Step 5: Solve for x
    x = 395,832,239,104/290,452
  6. Step 6: Final answer
    x = 1,362,814.64

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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.