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Finding the Third Proportional to 389.28 and 855.47

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Solution

The third proportional to 389.28 and 855.47 is: 1,879.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.28 : 855.47 = 855.47 : x
  2. Step 2: Convert to fraction form
    389.28/855.47 = 855.47/x
  3. Step 3: Cross multiply
    389.28x = 855.47 × 855.47
  4. Step 4: Simplify right side
    389.28x = 731,826.78
  5. Step 5: Solve for x
    x = 731,826.78/389.28
  6. Step 6: Final answer
    x = 1,879.94

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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.