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Finding the Third Proportional to 261,467 and 368,198

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Solution

The third proportional to 261,467 and 368,198 is: 518,496.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,467 : 368,198 = 368,198 : x
  2. Step 2: Convert to fraction form
    261,467/368,198 = 368,198/x
  3. Step 3: Cross multiply
    261,467x = 368,198 × 368,198
  4. Step 4: Simplify right side
    261,467x = 135,569,767,204
  5. Step 5: Solve for x
    x = 135,569,767,204/261,467
  6. Step 6: Final answer
    x = 518,496.66

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.