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Finding the Third Proportional to 66,991 and 90,976

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Solution

The third proportional to 66,991 and 90,976 is: 123,548.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,991 : 90,976 = 90,976 : x
  2. Step 2: Convert to fraction form
    66,991/90,976 = 90,976/x
  3. Step 3: Cross multiply
    66,991x = 90,976 × 90,976
  4. Step 4: Simplify right side
    66,991x = 8,276,632,576
  5. Step 5: Solve for x
    x = 8,276,632,576/66,991
  6. Step 6: Final answer
    x = 123,548.43

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Why These Related Problems?

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