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Finding the Third Proportional to 12.40 and 22.46

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Solution

The third proportional to 12.40 and 22.46 is: 40.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12.40 : 22.46 = 22.46 : x
  2. Step 2: Convert to fraction form
    12.40/22.46 = 22.46/x
  3. Step 3: Cross multiply
    12.40x = 22.46 × 22.46
  4. Step 4: Simplify right side
    12.40x = 504.55
  5. Step 5: Solve for x
    x = 504.55/12.40
  6. Step 6: Final answer
    x = 40.67

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.