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Finding the Third Proportional to 51,811 and 112,990

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Solution

The third proportional to 51,811 and 112,990 is: 246,409.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,811 : 112,990 = 112,990 : x
  2. Step 2: Convert to fraction form
    51,811/112,990 = 112,990/x
  3. Step 3: Cross multiply
    51,811x = 112,990 × 112,990
  4. Step 4: Simplify right side
    51,811x = 12,766,740,100
  5. Step 5: Solve for x
    x = 12,766,740,100/51,811
  6. Step 6: Final answer
    x = 246,409.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.