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Finding the Third Proportional to 317.88 and 363.44

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Solution

The third proportional to 317.88 and 363.44 is: 415.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    317.88 : 363.44 = 363.44 : x
  2. Step 2: Convert to fraction form
    317.88/363.44 = 363.44/x
  3. Step 3: Cross multiply
    317.88x = 363.44 × 363.44
  4. Step 4: Simplify right side
    317.88x = 132,086.82
  5. Step 5: Solve for x
    x = 132,086.82/317.88
  6. Step 6: Final answer
    x = 415.53

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.