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Finding the Third Proportional to 66,781 and 136,036

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Solution

The third proportional to 66,781 and 136,036 is: 277,111.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,781 : 136,036 = 136,036 : x
  2. Step 2: Convert to fraction form
    66,781/136,036 = 136,036/x
  3. Step 3: Cross multiply
    66,781x = 136,036 × 136,036
  4. Step 4: Simplify right side
    66,781x = 18,505,793,296
  5. Step 5: Solve for x
    x = 18,505,793,296/66,781
  6. Step 6: Final answer
    x = 277,111.65

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.