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Finding the Third Proportional to 40.55 and 89.20

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Solution

The third proportional to 40.55 and 89.20 is: 196.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.55 : 89.20 = 89.20 : x
  2. Step 2: Convert to fraction form
    40.55/89.20 = 89.20/x
  3. Step 3: Cross multiply
    40.55x = 89.20 × 89.20
  4. Step 4: Simplify right side
    40.55x = 7,956.75
  5. Step 5: Solve for x
    x = 7,956.75/40.55
  6. Step 6: Final answer
    x = 196.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.