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Finding the Third Proportional to 197.53 and 288.94

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Solution

The third proportional to 197.53 and 288.94 is: 422.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    197.53 : 288.94 = 288.94 : x
  2. Step 2: Convert to fraction form
    197.53/288.94 = 288.94/x
  3. Step 3: Cross multiply
    197.53x = 288.94 × 288.94
  4. Step 4: Simplify right side
    197.53x = 83,484.88
  5. Step 5: Solve for x
    x = 83,484.88/197.53
  6. Step 6: Final answer
    x = 422.64

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.