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Finding the Third Proportional to 1,211.72 and 2,616.84

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Solution

The third proportional to 1,211.72 and 2,616.84 is: 5,651.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,211.72 : 2,616.84 = 2,616.84 : x
  2. Step 2: Convert to fraction form
    1,211.72/2,616.84 = 2,616.84/x
  3. Step 3: Cross multiply
    1,211.72x = 2,616.84 × 2,616.84
  4. Step 4: Simplify right side
    1,211.72x = 6,847,871.21
  5. Step 5: Solve for x
    x = 6,847,871.21/1,211.72
  6. Step 6: Final answer
    x = 5,651.37

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.