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Finding the Third Proportional to 66.23 and 135.21

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Solution

The third proportional to 66.23 and 135.21 is: 276.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.23 : 135.21 = 135.21 : x
  2. Step 2: Convert to fraction form
    66.23/135.21 = 135.21/x
  3. Step 3: Cross multiply
    66.23x = 135.21 × 135.21
  4. Step 4: Simplify right side
    66.23x = 18,282.00
  5. Step 5: Solve for x
    x = 18,282.00/66.23
  6. Step 6: Final answer
    x = 276.02

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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.