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Finding the Third Proportional to 878.44 and 1,919.06

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Solution

The third proportional to 878.44 and 1,919.06 is: 4,192.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    878.44 : 1,919.06 = 1,919.06 : x
  2. Step 2: Convert to fraction form
    878.44/1,919.06 = 1,919.06/x
  3. Step 3: Cross multiply
    878.44x = 1,919.06 × 1,919.06
  4. Step 4: Simplify right side
    878.44x = 3,682,800.88
  5. Step 5: Solve for x
    x = 3,682,800.88/878.44
  6. Step 6: Final answer
    x = 4,192.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.