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Finding the Third Proportional to 863 and 1,920

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Solution

The third proportional to 863 and 1,920 is: 4,271.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    863 : 1,920 = 1,920 : x
  2. Step 2: Convert to fraction form
    863/1,920 = 1,920/x
  3. Step 3: Cross multiply
    863x = 1,920 × 1,920
  4. Step 4: Simplify right side
    863x = 3,686,400
  5. Step 5: Solve for x
    x = 3,686,400/863
  6. Step 6: Final answer
    x = 4,271.61

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.