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Finding the Third Proportional to 286,027 and 628,065

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Solution

The third proportional to 286,027 and 628,065 is: 1,379,120.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,027 : 628,065 = 628,065 : x
  2. Step 2: Convert to fraction form
    286,027/628,065 = 628,065/x
  3. Step 3: Cross multiply
    286,027x = 628,065 × 628,065
  4. Step 4: Simplify right side
    286,027x = 394,465,644,225
  5. Step 5: Solve for x
    x = 394,465,644,225/286,027
  6. Step 6: Final answer
    x = 1,379,120.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.