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Finding the Third Proportional to 280,100 and 419,172

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Solution

The third proportional to 280,100 and 419,172 is: 627,294.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,100 : 419,172 = 419,172 : x
  2. Step 2: Convert to fraction form
    280,100/419,172 = 419,172/x
  3. Step 3: Cross multiply
    280,100x = 419,172 × 419,172
  4. Step 4: Simplify right side
    280,100x = 175,705,165,584
  5. Step 5: Solve for x
    x = 175,705,165,584/280,100
  6. Step 6: Final answer
    x = 627,294.41

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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.