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Finding the Third Proportional to 92.21 and 199.55

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Solution

The third proportional to 92.21 and 199.55 is: 431.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.21 : 199.55 = 199.55 : x
  2. Step 2: Convert to fraction form
    92.21/199.55 = 199.55/x
  3. Step 3: Cross multiply
    92.21x = 199.55 × 199.55
  4. Step 4: Simplify right side
    92.21x = 39,818.96
  5. Step 5: Solve for x
    x = 39,818.96/92.21
  6. Step 6: Final answer
    x = 431.82

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.