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Finding the Third Proportional to 198.70 and 421.45

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Solution

The third proportional to 198.70 and 421.45 is: 893.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    198.70 : 421.45 = 421.45 : x
  2. Step 2: Convert to fraction form
    198.70/421.45 = 421.45/x
  3. Step 3: Cross multiply
    198.70x = 421.45 × 421.45
  4. Step 4: Simplify right side
    198.70x = 177,622.74
  5. Step 5: Solve for x
    x = 177,622.74/198.70
  6. Step 6: Final answer
    x = 893.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.