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Finding the Third Proportional to 855.19 and 1,252.31

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Solution

The third proportional to 855.19 and 1,252.31 is: 1,833.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.19 : 1,252.31 = 1,252.31 : x
  2. Step 2: Convert to fraction form
    855.19/1,252.31 = 1,252.31/x
  3. Step 3: Cross multiply
    855.19x = 1,252.31 × 1,252.31
  4. Step 4: Simplify right side
    855.19x = 1,568,286.60
  5. Step 5: Solve for x
    x = 1,568,286.60/855.19
  6. Step 6: Final answer
    x = 1,833.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.