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Finding the Third Proportional to 66,928 and 132,164

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Solution

The third proportional to 66,928 and 132,164 is: 260,986.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,928 : 132,164 = 132,164 : x
  2. Step 2: Convert to fraction form
    66,928/132,164 = 132,164/x
  3. Step 3: Cross multiply
    66,928x = 132,164 × 132,164
  4. Step 4: Simplify right side
    66,928x = 17,467,322,896
  5. Step 5: Solve for x
    x = 17,467,322,896/66,928
  6. Step 6: Final answer
    x = 260,986.78

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.