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Finding the Third Proportional to 280,152 and 419,238

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Solution

The third proportional to 280,152 and 419,238 is: 627,375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,152 : 419,238 = 419,238 : x
  2. Step 2: Convert to fraction form
    280,152/419,238 = 419,238/x
  3. Step 3: Cross multiply
    280,152x = 419,238 × 419,238
  4. Step 4: Simplify right side
    280,152x = 175,760,500,644
  5. Step 5: Solve for x
    x = 175,760,500,644/280,152
  6. Step 6: Final answer
    x = 627,375.50

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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.