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Finding the Third Proportional to 159,279 and 342,171

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Solution

The third proportional to 159,279 and 342,171 is: 735,068.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,279 : 342,171 = 342,171 : x
  2. Step 2: Convert to fraction form
    159,279/342,171 = 342,171/x
  3. Step 3: Cross multiply
    159,279x = 342,171 × 342,171
  4. Step 4: Simplify right side
    159,279x = 117,080,993,241
  5. Step 5: Solve for x
    x = 117,080,993,241/159,279
  6. Step 6: Final answer
    x = 735,068.61

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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.