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Finding the Third Proportional to 268,369 and 548,390

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Solution

The third proportional to 268,369 and 548,390 is: 1,120,589.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    268,369 : 548,390 = 548,390 : x
  2. Step 2: Convert to fraction form
    268,369/548,390 = 548,390/x
  3. Step 3: Cross multiply
    268,369x = 548,390 × 548,390
  4. Step 4: Simplify right side
    268,369x = 300,731,592,100
  5. Step 5: Solve for x
    x = 300,731,592,100/268,369
  6. Step 6: Final answer
    x = 1,120,589.90

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.