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Finding the Third Proportional to 92.55 and 197.20

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Solution

The third proportional to 92.55 and 197.20 is: 420.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    92.55 : 197.20 = 197.20 : x
  2. Step 2: Convert to fraction form
    92.55/197.20 = 197.20/x
  3. Step 3: Cross multiply
    92.55x = 197.20 × 197.20
  4. Step 4: Simplify right side
    92.55x = 38,887.92
  5. Step 5: Solve for x
    x = 38,887.92/92.55
  6. Step 6: Final answer
    x = 420.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.