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Finding the Third Proportional to 2,772.56 and 6,690.94

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Solution

The third proportional to 2,772.56 and 6,690.94 is: 16,147.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,772.56 : 6,690.94 = 6,690.94 : x
  2. Step 2: Convert to fraction form
    2,772.56/6,690.94 = 6,690.94/x
  3. Step 3: Cross multiply
    2,772.56x = 6,690.94 × 6,690.94
  4. Step 4: Simplify right side
    2,772.56x = 44,768,644.63
  5. Step 5: Solve for x
    x = 44,768,644.63/2,772.56
  6. Step 6: Final answer
    x = 16,147.03

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.