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Finding the Third Proportional to 140,834 and 305,956

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Solution

The third proportional to 140,834 and 305,956 is: 664,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,834 : 305,956 = 305,956 : x
  2. Step 2: Convert to fraction form
    140,834/305,956 = 305,956/x
  3. Step 3: Cross multiply
    140,834x = 305,956 × 305,956
  4. Step 4: Simplify right side
    140,834x = 93,609,073,936
  5. Step 5: Solve for x
    x = 93,609,073,936/140,834
  6. Step 6: Final answer
    x = 664,676.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.