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Finding the Third Proportional to 280,184 and 419,284

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Solution

The third proportional to 280,184 and 419,284 is: 627,441.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,184 : 419,284 = 419,284 : x
  2. Step 2: Convert to fraction form
    280,184/419,284 = 419,284/x
  3. Step 3: Cross multiply
    280,184x = 419,284 × 419,284
  4. Step 4: Simplify right side
    280,184x = 175,799,072,656
  5. Step 5: Solve for x
    x = 175,799,072,656/280,184
  6. Step 6: Final answer
    x = 627,441.51

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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.