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Finding the Third Proportional to 66,978 and 90,964

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Solution

The third proportional to 66,978 and 90,964 is: 123,539.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 90,964 = 90,964 : x
  2. Step 2: Convert to fraction form
    66,978/90,964 = 90,964/x
  3. Step 3: Cross multiply
    66,978x = 90,964 × 90,964
  4. Step 4: Simplify right side
    66,978x = 8,274,449,296
  5. Step 5: Solve for x
    x = 8,274,449,296/66,978
  6. Step 6: Final answer
    x = 123,539.81

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.