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Finding the Third Proportional to 20,982.75 and 40,902.75

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Solution

The third proportional to 20,982.75 and 40,902.75 is: 79,733.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,982.75 : 40,902.75 = 40,902.75 : x
  2. Step 2: Convert to fraction form
    20,982.75/40,902.75 = 40,902.75/x
  3. Step 3: Cross multiply
    20,982.75x = 40,902.75 × 40,902.75
  4. Step 4: Simplify right side
    20,982.75x = 1,673,034,957.56
  5. Step 5: Solve for x
    x = 1,673,034,957.56/20,982.75
  6. Step 6: Final answer
    x = 79,733.83

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.