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Finding the Third Proportional to 20,811 and 31,093.50

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Solution

The third proportional to 20,811 and 31,093.50 is: 46,456.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,811 : 31,093.50 = 31,093.50 : x
  2. Step 2: Convert to fraction form
    20,811/31,093.50 = 31,093.50/x
  3. Step 3: Cross multiply
    20,811x = 31,093.50 × 31,093.50
  4. Step 4: Simplify right side
    20,811x = 966,805,742.25
  5. Step 5: Solve for x
    x = 966,805,742.25/20,811
  6. Step 6: Final answer
    x = 46,456.48

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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.