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Finding the Third Proportional to 138,978 and 304,100

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Solution

The third proportional to 138,978 and 304,100 is: 665,406.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,978 : 304,100 = 304,100 : x
  2. Step 2: Convert to fraction form
    138,978/304,100 = 304,100/x
  3. Step 3: Cross multiply
    138,978x = 304,100 × 304,100
  4. Step 4: Simplify right side
    138,978x = 92,476,810,000
  5. Step 5: Solve for x
    x = 92,476,810,000/138,978
  6. Step 6: Final answer
    x = 665,406.11

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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.