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Finding the Third Proportional to 311.17 and 682.07

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Solution

The third proportional to 311.17 and 682.07 is: 1,495.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.17 : 682.07 = 682.07 : x
  2. Step 2: Convert to fraction form
    311.17/682.07 = 682.07/x
  3. Step 3: Cross multiply
    311.17x = 682.07 × 682.07
  4. Step 4: Simplify right side
    311.17x = 465,214.58
  5. Step 5: Solve for x
    x = 465,214.58/311.17
  6. Step 6: Final answer
    x = 1,495.06

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.