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Finding the Third Proportional to 311.75 and 517.25

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Solution

The third proportional to 311.75 and 517.25 is: 858.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    311.75 : 517.25 = 517.25 : x
  2. Step 2: Convert to fraction form
    311.75/517.25 = 517.25/x
  3. Step 3: Cross multiply
    311.75x = 517.25 × 517.25
  4. Step 4: Simplify right side
    311.75x = 267,547.56
  5. Step 5: Solve for x
    x = 267,547.56/311.75
  6. Step 6: Final answer
    x = 858.21

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Why These Related Problems?

These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.