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Finding the Third Proportional to 78.61 and 163.41

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Solution

The third proportional to 78.61 and 163.41 is: 339.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    78.61 : 163.41 = 163.41 : x
  2. Step 2: Convert to fraction form
    78.61/163.41 = 163.41/x
  3. Step 3: Cross multiply
    78.61x = 163.41 × 163.41
  4. Step 4: Simplify right side
    78.61x = 26,701.60
  5. Step 5: Solve for x
    x = 26,701.60/78.61
  6. Step 6: Final answer
    x = 339.67

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.