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Finding the Third Proportional to 178,736 and 263,943

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Solution

The third proportional to 178,736 and 263,943 is: 389,769.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,736 : 263,943 = 263,943 : x
  2. Step 2: Convert to fraction form
    178,736/263,943 = 263,943/x
  3. Step 3: Cross multiply
    178,736x = 263,943 × 263,943
  4. Step 4: Simplify right side
    178,736x = 69,665,907,249
  5. Step 5: Solve for x
    x = 69,665,907,249/178,736
  6. Step 6: Final answer
    x = 389,769.87

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.