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Finding the Third Proportional to 135,763 and 210,005

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Solution

The third proportional to 135,763 and 210,005 is: 324,846.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,763 : 210,005 = 210,005 : x
  2. Step 2: Convert to fraction form
    135,763/210,005 = 210,005/x
  3. Step 3: Cross multiply
    135,763x = 210,005 × 210,005
  4. Step 4: Simplify right side
    135,763x = 44,102,100,025
  5. Step 5: Solve for x
    x = 44,102,100,025/135,763
  6. Step 6: Final answer
    x = 324,846.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.