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Finding the Third Proportional to 143.50 and 197

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Solution

The third proportional to 143.50 and 197 is: 270.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    143.50 : 197 = 197 : x
  2. Step 2: Convert to fraction form
    143.50/197 = 197/x
  3. Step 3: Cross multiply
    143.50x = 197 × 197
  4. Step 4: Simplify right side
    143.50x = 38,809
  5. Step 5: Solve for x
    x = 38,809/143.50
  6. Step 6: Final answer
    x = 270.45

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.