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Finding the Third Proportional to 200.03 and 221.65

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Solution

The third proportional to 200.03 and 221.65 is: 245.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.03 : 221.65 = 221.65 : x
  2. Step 2: Convert to fraction form
    200.03/221.65 = 221.65/x
  3. Step 3: Cross multiply
    200.03x = 221.65 × 221.65
  4. Step 4: Simplify right side
    200.03x = 49,128.72
  5. Step 5: Solve for x
    x = 49,128.72/200.03
  6. Step 6: Final answer
    x = 245.61

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.