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Finding the Third Proportional to 135,393 and 189,278

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Solution

The third proportional to 135,393 and 189,278 is: 264,608.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,393 : 189,278 = 189,278 : x
  2. Step 2: Convert to fraction form
    135,393/189,278 = 189,278/x
  3. Step 3: Cross multiply
    135,393x = 189,278 × 189,278
  4. Step 4: Simplify right side
    135,393x = 35,826,161,284
  5. Step 5: Solve for x
    x = 35,826,161,284/135,393
  6. Step 6: Final answer
    x = 264,608.67

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.