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Finding the Third Proportional to 90.77 and 195.42

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Solution

The third proportional to 90.77 and 195.42 is: 420.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.77 : 195.42 = 195.42 : x
  2. Step 2: Convert to fraction form
    90.77/195.42 = 195.42/x
  3. Step 3: Cross multiply
    90.77x = 195.42 × 195.42
  4. Step 4: Simplify right side
    90.77x = 38,189.14
  5. Step 5: Solve for x
    x = 38,189.14/90.77
  6. Step 6: Final answer
    x = 420.73

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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.