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Finding the Third Proportional to 179,343 and 393,678

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Solution

The third proportional to 179,343 and 393,678 is: 864,167.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,343 : 393,678 = 393,678 : x
  2. Step 2: Convert to fraction form
    179,343/393,678 = 393,678/x
  3. Step 3: Cross multiply
    179,343x = 393,678 × 393,678
  4. Step 4: Simplify right side
    179,343x = 154,982,367,684
  5. Step 5: Solve for x
    x = 154,982,367,684/179,343
  6. Step 6: Final answer
    x = 864,167.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.