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Finding the Third Proportional to 149 and 197.63

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Solution

The third proportional to 149 and 197.63 is: 262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    149 : 197.63 = 197.63 : x
  2. Step 2: Convert to fraction form
    149/197.63 = 197.63/x
  3. Step 3: Cross multiply
    149x = 197.63 × 197.63
  4. Step 4: Simplify right side
    149x = 39,055.64
  5. Step 5: Solve for x
    x = 39,055.64/149
  6. Step 6: Final answer
    x = 262.12

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.