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Finding the Third Proportional to 90.60 and 195.43

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Solution

The third proportional to 90.60 and 195.43 is: 421.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.60 : 195.43 = 195.43 : x
  2. Step 2: Convert to fraction form
    90.60/195.43 = 195.43/x
  3. Step 3: Cross multiply
    90.60x = 195.43 × 195.43
  4. Step 4: Simplify right side
    90.60x = 38,194.29
  5. Step 5: Solve for x
    x = 38,194.29/90.60
  6. Step 6: Final answer
    x = 421.58

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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.