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Finding the Third Proportional to 280,969 and 419,790

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Solution

The third proportional to 280,969 and 419,790 is: 627,199.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,969 : 419,790 = 419,790 : x
  2. Step 2: Convert to fraction form
    280,969/419,790 = 419,790/x
  3. Step 3: Cross multiply
    280,969x = 419,790 × 419,790
  4. Step 4: Simplify right side
    280,969x = 176,223,644,100
  5. Step 5: Solve for x
    x = 176,223,644,100/280,969
  6. Step 6: Final answer
    x = 627,199.60

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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.