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Finding the Third Proportional to 135,777 and 189,915

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Solution

The third proportional to 135,777 and 189,915 is: 265,639.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,777 : 189,915 = 189,915 : x
  2. Step 2: Convert to fraction form
    135,777/189,915 = 189,915/x
  3. Step 3: Cross multiply
    135,777x = 189,915 × 189,915
  4. Step 4: Simplify right side
    135,777x = 36,067,707,225
  5. Step 5: Solve for x
    x = 36,067,707,225/135,777
  6. Step 6: Final answer
    x = 265,639.30

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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.