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Finding the Third Proportional to 314.25 and 479.44

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Solution

The third proportional to 314.25 and 479.44 is: 731.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    314.25 : 479.44 = 479.44 : x
  2. Step 2: Convert to fraction form
    314.25/479.44 = 479.44/x
  3. Step 3: Cross multiply
    314.25x = 479.44 × 479.44
  4. Step 4: Simplify right side
    314.25x = 229,860.32
  5. Step 5: Solve for x
    x = 229,860.32/314.25
  6. Step 6: Final answer
    x = 731.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.