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Finding the Third Proportional to 179,859 and 393,981

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Solution

The third proportional to 179,859 and 393,981 is: 863,015.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,859 : 393,981 = 393,981 : x
  2. Step 2: Convert to fraction form
    179,859/393,981 = 393,981/x
  3. Step 3: Cross multiply
    179,859x = 393,981 × 393,981
  4. Step 4: Simplify right side
    179,859x = 155,221,028,361
  5. Step 5: Solve for x
    x = 155,221,028,361/179,859
  6. Step 6: Final answer
    x = 863,015.07

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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.