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Finding the Third Proportional to 133,868 and 215,234

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Solution

The third proportional to 133,868 and 215,234 is: 346,054.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,868 : 215,234 = 215,234 : x
  2. Step 2: Convert to fraction form
    133,868/215,234 = 215,234/x
  3. Step 3: Cross multiply
    133,868x = 215,234 × 215,234
  4. Step 4: Simplify right side
    133,868x = 46,325,674,756
  5. Step 5: Solve for x
    x = 46,325,674,756/133,868
  6. Step 6: Final answer
    x = 346,054.88

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.