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Finding the Third Proportional to 20,420 and 41,703.50

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Solution

The third proportional to 20,420 and 41,703.50 is: 85,170.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,420 : 41,703.50 = 41,703.50 : x
  2. Step 2: Convert to fraction form
    20,420/41,703.50 = 41,703.50/x
  3. Step 3: Cross multiply
    20,420x = 41,703.50 × 41,703.50
  4. Step 4: Simplify right side
    20,420x = 1,739,181,912.25
  5. Step 5: Solve for x
    x = 1,739,181,912.25/20,420
  6. Step 6: Final answer
    x = 85,170.51

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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.