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Finding the Third Proportional to 66.44 and 144.06

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Solution

The third proportional to 66.44 and 144.06 is: 312.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.44 : 144.06 = 144.06 : x
  2. Step 2: Convert to fraction form
    66.44/144.06 = 144.06/x
  3. Step 3: Cross multiply
    66.44x = 144.06 × 144.06
  4. Step 4: Simplify right side
    66.44x = 20,754.00
  5. Step 5: Solve for x
    x = 20,754.00/66.44
  6. Step 6: Final answer
    x = 312.38

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.