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Finding the Third Proportional to 179,858 and 393,979

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Solution

The third proportional to 179,858 and 393,979 is: 863,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,858 : 393,979 = 393,979 : x
  2. Step 2: Convert to fraction form
    179,858/393,979 = 393,979/x
  3. Step 3: Cross multiply
    179,858x = 393,979 × 393,979
  4. Step 4: Simplify right side
    179,858x = 155,219,452,441
  5. Step 5: Solve for x
    x = 155,219,452,441/179,858
  6. Step 6: Final answer
    x = 863,011.11

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.