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Finding the Third Proportional to 190,819 and 280,393

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Solution

The third proportional to 190,819 and 280,393 is: 412,014.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,819 : 280,393 = 280,393 : x
  2. Step 2: Convert to fraction form
    190,819/280,393 = 280,393/x
  3. Step 3: Cross multiply
    190,819x = 280,393 × 280,393
  4. Step 4: Simplify right side
    190,819x = 78,620,234,449
  5. Step 5: Solve for x
    x = 78,620,234,449/190,819
  6. Step 6: Final answer
    x = 412,014.71

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.