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Finding the Third Proportional to 311.77 and 669.09

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Solution

The third proportional to 311.77 and 669.09 is: 1,435.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.77 : 669.09 = 669.09 : x
  2. Step 2: Convert to fraction form
    311.77/669.09 = 669.09/x
  3. Step 3: Cross multiply
    311.77x = 669.09 × 669.09
  4. Step 4: Simplify right side
    311.77x = 447,686.45
  5. Step 5: Solve for x
    x = 447,686.45/311.77
  6. Step 6: Final answer
    x = 1,435.97

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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.