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Finding the Third Proportional to 280,588 and 676,198

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Solution

The third proportional to 280,588 and 676,198 is: 1,629,591.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    280,588 : 676,198 = 676,198 : x
  2. Step 2: Convert to fraction form
    280,588/676,198 = 676,198/x
  3. Step 3: Cross multiply
    280,588x = 676,198 × 676,198
  4. Step 4: Simplify right side
    280,588x = 457,243,735,204
  5. Step 5: Solve for x
    x = 457,243,735,204/280,588
  6. Step 6: Final answer
    x = 1,629,591.20

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.