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Finding the Third Proportional to 159,123 and 343,149

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Solution

The third proportional to 159,123 and 343,149 is: 740,001.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,123 : 343,149 = 343,149 : x
  2. Step 2: Convert to fraction form
    159,123/343,149 = 343,149/x
  3. Step 3: Cross multiply
    159,123x = 343,149 × 343,149
  4. Step 4: Simplify right side
    159,123x = 117,751,236,201
  5. Step 5: Solve for x
    x = 117,751,236,201/159,123
  6. Step 6: Final answer
    x = 740,001.36

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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.