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Finding the Third Proportional to 290,061 and 628,512

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Solution

The third proportional to 290,061 and 628,512 is: 1,361,876.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,061 : 628,512 = 628,512 : x
  2. Step 2: Convert to fraction form
    290,061/628,512 = 628,512/x
  3. Step 3: Cross multiply
    290,061x = 628,512 × 628,512
  4. Step 4: Simplify right side
    290,061x = 395,027,334,144
  5. Step 5: Solve for x
    x = 395,027,334,144/290,061
  6. Step 6: Final answer
    x = 1,361,876.76

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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.