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Finding the Third Proportional to 36 and 66.66

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Solution

The third proportional to 36 and 66.66 is: 123.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36 : 66.66 = 66.66 : x
  2. Step 2: Convert to fraction form
    36/66.66 = 66.66/x
  3. Step 3: Cross multiply
    36x = 66.66 × 66.66
  4. Step 4: Simplify right side
    36x = 4,443.06
  5. Step 5: Solve for x
    x = 4,443.06/36
  6. Step 6: Final answer
    x = 123.42

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.