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Finding the Third Proportional to 203,978 and 286,738

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Solution

The third proportional to 203,978 and 286,738 is: 403,076.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,978 : 286,738 = 286,738 : x
  2. Step 2: Convert to fraction form
    203,978/286,738 = 286,738/x
  3. Step 3: Cross multiply
    203,978x = 286,738 × 286,738
  4. Step 4: Simplify right side
    203,978x = 82,218,680,644
  5. Step 5: Solve for x
    x = 82,218,680,644/203,978
  6. Step 6: Final answer
    x = 403,076.22

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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.