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Finding the Third Proportional to 40.45 and 91.36

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Solution

The third proportional to 40.45 and 91.36 is: 206.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.45 : 91.36 = 91.36 : x
  2. Step 2: Convert to fraction form
    40.45/91.36 = 91.36/x
  3. Step 3: Cross multiply
    40.45x = 91.36 × 91.36
  4. Step 4: Simplify right side
    40.45x = 8,346.54
  5. Step 5: Solve for x
    x = 8,346.54/40.45
  6. Step 6: Final answer
    x = 206.33

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.