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Finding the Third Proportional to 855.80 and 1,845.04

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Solution

The third proportional to 855.80 and 1,845.04 is: 3,977.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.80 : 1,845.04 = 1,845.04 : x
  2. Step 2: Convert to fraction form
    855.80/1,845.04 = 1,845.04/x
  3. Step 3: Cross multiply
    855.80x = 1,845.04 × 1,845.04
  4. Step 4: Simplify right side
    855.80x = 3,404,187.16
  5. Step 5: Solve for x
    x = 3,404,187.16/855.80
  6. Step 6: Final answer
    x = 3,977.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.