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Finding the Third Proportional to 42.75 and 92.20

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Solution

The third proportional to 42.75 and 92.20 is: 198.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    42.75 : 92.20 = 92.20 : x
  2. Step 2: Convert to fraction form
    42.75/92.20 = 92.20/x
  3. Step 3: Cross multiply
    42.75x = 92.20 × 92.20
  4. Step 4: Simplify right side
    42.75x = 8,501.42
  5. Step 5: Solve for x
    x = 8,501.42/42.75
  6. Step 6: Final answer
    x = 198.86

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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.