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Finding the Third Proportional to 280,094 and 419,163

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Solution

The third proportional to 280,094 and 419,163 is: 627,280.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,094 : 419,163 = 419,163 : x
  2. Step 2: Convert to fraction form
    280,094/419,163 = 419,163/x
  3. Step 3: Cross multiply
    280,094x = 419,163 × 419,163
  4. Step 4: Simplify right side
    280,094x = 175,697,620,569
  5. Step 5: Solve for x
    x = 175,697,620,569/280,094
  6. Step 6: Final answer
    x = 627,280.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.