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Finding the Third Proportional to 159,122 and 343,147

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Solution

The third proportional to 159,122 and 343,147 is: 739,997.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,122 : 343,147 = 343,147 : x
  2. Step 2: Convert to fraction form
    159,122/343,147 = 343,147/x
  3. Step 3: Cross multiply
    159,122x = 343,147 × 343,147
  4. Step 4: Simplify right side
    159,122x = 117,749,863,609
  5. Step 5: Solve for x
    x = 117,749,863,609/159,122
  6. Step 6: Final answer
    x = 739,997.38

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.