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Finding the Third Proportional to 179,338 and 393,506

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Solution

The third proportional to 179,338 and 393,506 is: 863,436.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    179,338 : 393,506 = 393,506 : x
  2. Step 2: Convert to fraction form
    179,338/393,506 = 393,506/x
  3. Step 3: Cross multiply
    179,338x = 393,506 × 393,506
  4. Step 4: Simplify right side
    179,338x = 154,846,972,036
  5. Step 5: Solve for x
    x = 154,846,972,036/179,338
  6. Step 6: Final answer
    x = 863,436.48

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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.