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Finding the Third Proportional to 280,179 and 419,277

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Solution

The third proportional to 280,179 and 419,277 is: 627,431.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,179 : 419,277 = 419,277 : x
  2. Step 2: Convert to fraction form
    280,179/419,277 = 419,277/x
  3. Step 3: Cross multiply
    280,179x = 419,277 × 419,277
  4. Step 4: Simplify right side
    280,179x = 175,793,202,729
  5. Step 5: Solve for x
    x = 175,793,202,729/280,179
  6. Step 6: Final answer
    x = 627,431.76

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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.