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Finding the Third Proportional to 280,352 and 419,366

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Solution

The third proportional to 280,352 and 419,366 is: 627,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,352 : 419,366 = 419,366 : x
  2. Step 2: Convert to fraction form
    280,352/419,366 = 419,366/x
  3. Step 3: Cross multiply
    280,352x = 419,366 × 419,366
  4. Step 4: Simplify right side
    280,352x = 175,867,841,956
  5. Step 5: Solve for x
    x = 175,867,841,956/280,352
  6. Step 6: Final answer
    x = 627,310.82

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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.