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Finding the Third Proportional to 92.07 and 198.39

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Solution

The third proportional to 92.07 and 198.39 is: 427.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.07 : 198.39 = 198.39 : x
  2. Step 2: Convert to fraction form
    92.07/198.39 = 198.39/x
  3. Step 3: Cross multiply
    92.07x = 198.39 × 198.39
  4. Step 4: Simplify right side
    92.07x = 39,357.29
  5. Step 5: Solve for x
    x = 39,357.29/92.07
  6. Step 6: Final answer
    x = 427.45

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.