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Finding the Third Proportional to 301,745.25 and 628,286.63

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Solution

The third proportional to 301,745.25 and 628,286.63 is: 1,308,203.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,745.25 : 628,286.63 = 628,286.63 : x
  2. Step 2: Convert to fraction form
    301,745.25/628,286.63 = 628,286.63/x
  3. Step 3: Cross multiply
    301,745.25x = 628,286.63 × 628,286.63
  4. Step 4: Simplify right side
    301,745.25x = 394,744,083,153.89
  5. Step 5: Solve for x
    x = 394,744,083,153.89/301,745.25
  6. Step 6: Final answer
    x = 1,308,203.14

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.