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Finding the Third Proportional to 100.50 and 122.44

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Solution

The third proportional to 100.50 and 122.44 is: 149.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    100.50 : 122.44 = 122.44 : x
  2. Step 2: Convert to fraction form
    100.50/122.44 = 122.44/x
  3. Step 3: Cross multiply
    100.50x = 122.44 × 122.44
  4. Step 4: Simplify right side
    100.50x = 14,990.94
  5. Step 5: Solve for x
    x = 14,990.94/100.50
  6. Step 6: Final answer
    x = 149.16

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.