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Finding the Third Proportional to 92,978 and 203,236

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Solution

The third proportional to 92,978 and 203,236 is: 444,243.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,978 : 203,236 = 203,236 : x
  2. Step 2: Convert to fraction form
    92,978/203,236 = 203,236/x
  3. Step 3: Cross multiply
    92,978x = 203,236 × 203,236
  4. Step 4: Simplify right side
    92,978x = 41,304,871,696
  5. Step 5: Solve for x
    x = 41,304,871,696/92,978
  6. Step 6: Final answer
    x = 444,243.50

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.