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Finding the Third Proportional to 297,792 and 628,704

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Solution

The third proportional to 297,792 and 628,704 is: 1,327,331.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,792 : 628,704 = 628,704 : x
  2. Step 2: Convert to fraction form
    297,792/628,704 = 628,704/x
  3. Step 3: Cross multiply
    297,792x = 628,704 × 628,704
  4. Step 4: Simplify right side
    297,792x = 395,268,719,616
  5. Step 5: Solve for x
    x = 395,268,719,616/297,792
  6. Step 6: Final answer
    x = 1,327,331.56

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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.