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Finding the Third Proportional to 86.22 and 129.41

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Solution

The third proportional to 86.22 and 129.41 is: 194.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.22 : 129.41 = 129.41 : x
  2. Step 2: Convert to fraction form
    86.22/129.41 = 129.41/x
  3. Step 3: Cross multiply
    86.22x = 129.41 × 129.41
  4. Step 4: Simplify right side
    86.22x = 16,746.99
  5. Step 5: Solve for x
    x = 16,746.99/86.22
  6. Step 6: Final answer
    x = 194.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.