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Finding the Third Proportional to 178,851.75 and 393,003

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Solution

The third proportional to 178,851.75 and 393,003 is: 863,571.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,851.75 : 393,003 = 393,003 : x
  2. Step 2: Convert to fraction form
    178,851.75/393,003 = 393,003/x
  3. Step 3: Cross multiply
    178,851.75x = 393,003 × 393,003
  4. Step 4: Simplify right side
    178,851.75x = 154,451,358,009
  5. Step 5: Solve for x
    x = 154,451,358,009/178,851.75
  6. Step 6: Final answer
    x = 863,571.97

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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.