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Finding the Third Proportional to 197.50 and 329.50

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Solution

The third proportional to 197.50 and 329.50 is: 549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.50 : 329.50 = 329.50 : x
  2. Step 2: Convert to fraction form
    197.50/329.50 = 329.50/x
  3. Step 3: Cross multiply
    197.50x = 329.50 × 329.50
  4. Step 4: Simplify right side
    197.50x = 108,570.25
  5. Step 5: Solve for x
    x = 108,570.25/197.50
  6. Step 6: Final answer
    x = 549.72

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.