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Finding the Third Proportional to 311.98 and 656.12

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Solution

The third proportional to 311.98 and 656.12 is: 1,379.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.98 : 656.12 = 656.12 : x
  2. Step 2: Convert to fraction form
    311.98/656.12 = 656.12/x
  3. Step 3: Cross multiply
    311.98x = 656.12 × 656.12
  4. Step 4: Simplify right side
    311.98x = 430,494.89
  5. Step 5: Solve for x
    x = 430,494.89/311.98
  6. Step 6: Final answer
    x = 1,379.89

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.