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Finding the Third Proportional to 66,978 and 91,841

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Solution

The third proportional to 66,978 and 91,841 is: 125,933.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,978 : 91,841 = 91,841 : x
  2. Step 2: Convert to fraction form
    66,978/91,841 = 91,841/x
  3. Step 3: Cross multiply
    66,978x = 91,841 × 91,841
  4. Step 4: Simplify right side
    66,978x = 8,434,769,281
  5. Step 5: Solve for x
    x = 8,434,769,281/66,978
  6. Step 6: Final answer
    x = 125,933.43

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.