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Finding the Third Proportional to 66.44 and 103.09

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Solution

The third proportional to 66.44 and 103.09 is: 159.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.44 : 103.09 = 103.09 : x
  2. Step 2: Convert to fraction form
    66.44/103.09 = 103.09/x
  3. Step 3: Cross multiply
    66.44x = 103.09 × 103.09
  4. Step 4: Simplify right side
    66.44x = 10,628.32
  5. Step 5: Solve for x
    x = 10,628.32/66.44
  6. Step 6: Final answer
    x = 159.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.