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Finding the Third Proportional to 280,102 and 419,175

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Solution

The third proportional to 280,102 and 419,175 is: 627,298.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,102 : 419,175 = 419,175 : x
  2. Step 2: Convert to fraction form
    280,102/419,175 = 419,175/x
  3. Step 3: Cross multiply
    280,102x = 419,175 × 419,175
  4. Step 4: Simplify right side
    280,102x = 175,707,680,625
  5. Step 5: Solve for x
    x = 175,707,680,625/280,102
  6. Step 6: Final answer
    x = 627,298.91

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