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Finding the Third Proportional to 181,278.84 and 394,815.94

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Solution

The third proportional to 181,278.84 and 394,815.94 is: 859,888.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    181,278.84 : 394,815.94 = 394,815.94 : x
  2. Step 2: Convert to fraction form
    181,278.84/394,815.94 = 394,815.94/x
  3. Step 3: Cross multiply
    181,278.84x = 394,815.94 × 394,815.94
  4. Step 4: Simplify right side
    181,278.84x = 155,879,624,504.00
  5. Step 5: Solve for x
    x = 155,879,624,504.00/181,278.84
  6. Step 6: Final answer
    x = 859,888.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.