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Finding the Third Proportional to 304,198 and 678,272

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Solution

The third proportional to 304,198 and 678,272 is: 1,512,346.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    304,198 : 678,272 = 678,272 : x
  2. Step 2: Convert to fraction form
    304,198/678,272 = 678,272/x
  3. Step 3: Cross multiply
    304,198x = 678,272 × 678,272
  4. Step 4: Simplify right side
    304,198x = 460,052,905,984
  5. Step 5: Solve for x
    x = 460,052,905,984/304,198
  6. Step 6: Final answer
    x = 1,512,346.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.