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Finding the Third Proportional to 78.44 and 162.41

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Solution

The third proportional to 78.44 and 162.41 is: 336.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.44 : 162.41 = 162.41 : x
  2. Step 2: Convert to fraction form
    78.44/162.41 = 162.41/x
  3. Step 3: Cross multiply
    78.44x = 162.41 × 162.41
  4. Step 4: Simplify right side
    78.44x = 26,375.79
  5. Step 5: Solve for x
    x = 26,375.79/78.44
  6. Step 6: Final answer
    x = 336.27

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.