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Finding the Third Proportional to 94,978 and 203,132

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Solution

The third proportional to 94,978 and 203,132 is: 434,443.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,978 : 203,132 = 203,132 : x
  2. Step 2: Convert to fraction form
    94,978/203,132 = 203,132/x
  3. Step 3: Cross multiply
    94,978x = 203,132 × 203,132
  4. Step 4: Simplify right side
    94,978x = 41,262,609,424
  5. Step 5: Solve for x
    x = 41,262,609,424/94,978
  6. Step 6: Final answer
    x = 434,443.87

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.