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Finding the Third Proportional to 1,942.88 and 4,139.44

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Solution

The third proportional to 1,942.88 and 4,139.44 is: 8,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.88 : 4,139.44 = 4,139.44 : x
  2. Step 2: Convert to fraction form
    1,942.88/4,139.44 = 4,139.44/x
  3. Step 3: Cross multiply
    1,942.88x = 4,139.44 × 4,139.44
  4. Step 4: Simplify right side
    1,942.88x = 17,134,942.82
  5. Step 5: Solve for x
    x = 17,134,942.82/1,942.88
  6. Step 6: Final answer
    x = 8,819.37

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.