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Finding the Third Proportional to 280,284 and 419,418

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Solution

The third proportional to 280,284 and 419,418 is: 627,618.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,284 : 419,418 = 419,418 : x
  2. Step 2: Convert to fraction form
    280,284/419,418 = 419,418/x
  3. Step 3: Cross multiply
    280,284x = 419,418 × 419,418
  4. Step 4: Simplify right side
    280,284x = 175,911,458,724
  5. Step 5: Solve for x
    x = 175,911,458,724/280,284
  6. Step 6: Final answer
    x = 627,618.63

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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.