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Finding the Third Proportional to 380.06 and 828.69

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Solution

The third proportional to 380.06 and 828.69 is: 1,806.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.06 : 828.69 = 828.69 : x
  2. Step 2: Convert to fraction form
    380.06/828.69 = 828.69/x
  3. Step 3: Cross multiply
    380.06x = 828.69 × 828.69
  4. Step 4: Simplify right side
    380.06x = 686,722.97
  5. Step 5: Solve for x
    x = 686,722.97/380.06
  6. Step 6: Final answer
    x = 1,806.87

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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.