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Finding the Third Proportional to 40.58 and 85.67

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Solution

The third proportional to 40.58 and 85.67 is: 180.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    40.58 : 85.67 = 85.67 : x
  2. Step 2: Convert to fraction form
    40.58/85.67 = 85.67/x
  3. Step 3: Cross multiply
    40.58x = 85.67 × 85.67
  4. Step 4: Simplify right side
    40.58x = 7,338.83
  5. Step 5: Solve for x
    x = 7,338.83/40.58
  6. Step 6: Final answer
    x = 180.85

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.