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Finding the Third Proportional to 166,936 and 393,678

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Solution

The third proportional to 166,936 and 393,678 is: 928,393.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    166,936 : 393,678 = 393,678 : x
  2. Step 2: Convert to fraction form
    166,936/393,678 = 393,678/x
  3. Step 3: Cross multiply
    166,936x = 393,678 × 393,678
  4. Step 4: Simplify right side
    166,936x = 154,982,367,684
  5. Step 5: Solve for x
    x = 154,982,367,684/166,936
  6. Step 6: Final answer
    x = 928,393.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.