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Finding the Third Proportional to 20,850.75 and 44,973.56

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Solution

The third proportional to 20,850.75 and 44,973.56 is: 97,004.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,850.75 : 44,973.56 = 44,973.56 : x
  2. Step 2: Convert to fraction form
    20,850.75/44,973.56 = 44,973.56/x
  3. Step 3: Cross multiply
    20,850.75x = 44,973.56 × 44,973.56
  4. Step 4: Simplify right side
    20,850.75x = 2,022,621,323.94
  5. Step 5: Solve for x
    x = 2,022,621,323.94/20,850.75
  6. Step 6: Final answer
    x = 97,004.73

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.