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Finding the Third Proportional to 304,828 and 411,198

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Solution

The third proportional to 304,828 and 411,198 is: 554,685.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,828 : 411,198 = 411,198 : x
  2. Step 2: Convert to fraction form
    304,828/411,198 = 411,198/x
  3. Step 3: Cross multiply
    304,828x = 411,198 × 411,198
  4. Step 4: Simplify right side
    304,828x = 169,083,795,204
  5. Step 5: Solve for x
    x = 169,083,795,204/304,828
  6. Step 6: Final answer
    x = 554,685.91

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.