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Finding the Third Proportional to 855.72 and 1,850.98

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Solution

The third proportional to 855.72 and 1,850.98 is: 4,003.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.72 : 1,850.98 = 1,850.98 : x
  2. Step 2: Convert to fraction form
    855.72/1,850.98 = 1,850.98/x
  3. Step 3: Cross multiply
    855.72x = 1,850.98 × 1,850.98
  4. Step 4: Simplify right side
    855.72x = 3,426,114.23
  5. Step 5: Solve for x
    x = 3,426,114.23/855.72
  6. Step 6: Final answer
    x = 4,003.78

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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.