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Finding the Third Proportional to 135,323 and 189,189

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Solution

The third proportional to 135,323 and 189,189 is: 264,496.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,323 : 189,189 = 189,189 : x
  2. Step 2: Convert to fraction form
    135,323/189,189 = 189,189/x
  3. Step 3: Cross multiply
    135,323x = 189,189 × 189,189
  4. Step 4: Simplify right side
    135,323x = 35,792,477,721
  5. Step 5: Solve for x
    x = 35,792,477,721/135,323
  6. Step 6: Final answer
    x = 264,496.63

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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.