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Finding the Third Proportional to 290,057 and 628,504

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Solution

The third proportional to 290,057 and 628,504 is: 1,361,860.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,057 : 628,504 = 628,504 : x
  2. Step 2: Convert to fraction form
    290,057/628,504 = 628,504/x
  3. Step 3: Cross multiply
    290,057x = 628,504 × 628,504
  4. Step 4: Simplify right side
    290,057x = 395,017,278,016
  5. Step 5: Solve for x
    x = 395,017,278,016/290,057
  6. Step 6: Final answer
    x = 1,361,860.87

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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.