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Finding the Third Proportional to 3,239.84 and 6,977.78

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Solution

The third proportional to 3,239.84 and 6,977.78 is: 15,028.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,239.84 : 6,977.78 = 6,977.78 : x
  2. Step 2: Convert to fraction form
    3,239.84/6,977.78 = 6,977.78/x
  3. Step 3: Cross multiply
    3,239.84x = 6,977.78 × 6,977.78
  4. Step 4: Simplify right side
    3,239.84x = 48,689,431.17
  5. Step 5: Solve for x
    x = 48,689,431.17/3,239.84
  6. Step 6: Final answer
    x = 15,028.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.