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Finding the Third Proportional to 66.19 and 146.44

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Solution

The third proportional to 66.19 and 146.44 is: 323.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    66.19 : 146.44 = 146.44 : x
  2. Step 2: Convert to fraction form
    66.19/146.44 = 146.44/x
  3. Step 3: Cross multiply
    66.19x = 146.44 × 146.44
  4. Step 4: Simplify right side
    66.19x = 21,443.94
  5. Step 5: Solve for x
    x = 21,443.94/66.19
  6. Step 6: Final answer
    x = 323.99

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.