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Finding the Third Proportional to 20,190 and 41,200.50

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Solution

The third proportional to 20,190 and 41,200.50 is: 84,075.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,190 : 41,200.50 = 41,200.50 : x
  2. Step 2: Convert to fraction form
    20,190/41,200.50 = 41,200.50/x
  3. Step 3: Cross multiply
    20,190x = 41,200.50 × 41,200.50
  4. Step 4: Simplify right side
    20,190x = 1,697,481,200.25
  5. Step 5: Solve for x
    x = 1,697,481,200.25/20,190
  6. Step 6: Final answer
    x = 84,075.34

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.