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Finding the Third Proportional to 91.02 and 195.86

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Solution

The third proportional to 91.02 and 195.86 is: 421.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    91.02 : 195.86 = 195.86 : x
  2. Step 2: Convert to fraction form
    91.02/195.86 = 195.86/x
  3. Step 3: Cross multiply
    91.02x = 195.86 × 195.86
  4. Step 4: Simplify right side
    91.02x = 38,359.36
  5. Step 5: Solve for x
    x = 38,359.36/91.02
  6. Step 6: Final answer
    x = 421.44

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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.