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Finding the Third Proportional to 287,646 and 627,198

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Solution

The third proportional to 287,646 and 627,198 is: 1,367,574.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,646 : 627,198 = 627,198 : x
  2. Step 2: Convert to fraction form
    287,646/627,198 = 627,198/x
  3. Step 3: Cross multiply
    287,646x = 627,198 × 627,198
  4. Step 4: Simplify right side
    287,646x = 393,377,331,204
  5. Step 5: Solve for x
    x = 393,377,331,204/287,646
  6. Step 6: Final answer
    x = 1,367,574.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.