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Finding the Third Proportional to 135,134 and 289,946

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Solution

The third proportional to 135,134 and 289,946 is: 622,113.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,134 : 289,946 = 289,946 : x
  2. Step 2: Convert to fraction form
    135,134/289,946 = 289,946/x
  3. Step 3: Cross multiply
    135,134x = 289,946 × 289,946
  4. Step 4: Simplify right side
    135,134x = 84,068,682,916
  5. Step 5: Solve for x
    x = 84,068,682,916/135,134
  6. Step 6: Final answer
    x = 622,113.48

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.