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Finding the Third Proportional to 286,086 and 628,188

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Solution

The third proportional to 286,086 and 628,188 is: 1,379,376.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,086 : 628,188 = 628,188 : x
  2. Step 2: Convert to fraction form
    286,086/628,188 = 628,188/x
  3. Step 3: Cross multiply
    286,086x = 628,188 × 628,188
  4. Step 4: Simplify right side
    286,086x = 394,620,163,344
  5. Step 5: Solve for x
    x = 394,620,163,344/286,086
  6. Step 6: Final answer
    x = 1,379,376.00

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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.