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Finding the Third Proportional to 3,775.78 and 7,974.28

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Solution

The third proportional to 3,775.78 and 7,974.28 is: 16,841.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,775.78 : 7,974.28 = 7,974.28 : x
  2. Step 2: Convert to fraction form
    3,775.78/7,974.28 = 7,974.28/x
  3. Step 3: Cross multiply
    3,775.78x = 7,974.28 × 7,974.28
  4. Step 4: Simplify right side
    3,775.78x = 63,589,161.45
  5. Step 5: Solve for x
    x = 63,589,161.45/3,775.78
  6. Step 6: Final answer
    x = 16,841.33

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.