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Finding the Third Proportional to 166,798 and 340,388

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Solution

The third proportional to 166,798 and 340,388 is: 694,636.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,798 : 340,388 = 340,388 : x
  2. Step 2: Convert to fraction form
    166,798/340,388 = 340,388/x
  3. Step 3: Cross multiply
    166,798x = 340,388 × 340,388
  4. Step 4: Simplify right side
    166,798x = 115,863,990,544
  5. Step 5: Solve for x
    x = 115,863,990,544/166,798
  6. Step 6: Final answer
    x = 694,636.57

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.