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Finding the Third Proportional to 297,794 and 628,708

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Solution

The third proportional to 297,794 and 628,708 is: 1,327,339.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,794 : 628,708 = 628,708 : x
  2. Step 2: Convert to fraction form
    297,794/628,708 = 628,708/x
  3. Step 3: Cross multiply
    297,794x = 628,708 × 628,708
  4. Step 4: Simplify right side
    297,794x = 395,273,749,264
  5. Step 5: Solve for x
    x = 395,273,749,264/297,794
  6. Step 6: Final answer
    x = 1,327,339.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.