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Finding the Third Proportional to 855.98 and 1,280.18

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Solution

The third proportional to 855.98 and 1,280.18 is: 1,914.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.98 : 1,280.18 = 1,280.18 : x
  2. Step 2: Convert to fraction form
    855.98/1,280.18 = 1,280.18/x
  3. Step 3: Cross multiply
    855.98x = 1,280.18 × 1,280.18
  4. Step 4: Simplify right side
    855.98x = 1,638,860.03
  5. Step 5: Solve for x
    x = 1,638,860.03/855.98
  6. Step 6: Final answer
    x = 1,914.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.