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Finding the Third Proportional to 280,967 and 419,787

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Solution

The third proportional to 280,967 and 419,787 is: 627,195.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,967 : 419,787 = 419,787 : x
  2. Step 2: Convert to fraction form
    280,967/419,787 = 419,787/x
  3. Step 3: Cross multiply
    280,967x = 419,787 × 419,787
  4. Step 4: Simplify right side
    280,967x = 176,221,125,369
  5. Step 5: Solve for x
    x = 176,221,125,369/280,967
  6. Step 6: Final answer
    x = 627,195.10

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.