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Finding the Third Proportional to 20,823 and 31,200.50

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Solution

The third proportional to 20,823 and 31,200.50 is: 46,749.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,823 : 31,200.50 = 31,200.50 : x
  2. Step 2: Convert to fraction form
    20,823/31,200.50 = 31,200.50/x
  3. Step 3: Cross multiply
    20,823x = 31,200.50 × 31,200.50
  4. Step 4: Simplify right side
    20,823x = 973,471,200.25
  5. Step 5: Solve for x
    x = 973,471,200.25/20,823
  6. Step 6: Final answer
    x = 46,749.81

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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.