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Finding the Third Proportional to 18,124 and 26,990

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Solution

The third proportional to 18,124 and 26,990 is: 40,193.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,124 : 26,990 = 26,990 : x
  2. Step 2: Convert to fraction form
    18,124/26,990 = 26,990/x
  3. Step 3: Cross multiply
    18,124x = 26,990 × 26,990
  4. Step 4: Simplify right side
    18,124x = 728,460,100
  5. Step 5: Solve for x
    x = 728,460,100/18,124
  6. Step 6: Final answer
    x = 40,193.12

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.