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Finding the Third Proportional to 310.82 and 480.62

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Solution

The third proportional to 310.82 and 480.62 is: 743.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.82 : 480.62 = 480.62 : x
  2. Step 2: Convert to fraction form
    310.82/480.62 = 480.62/x
  3. Step 3: Cross multiply
    310.82x = 480.62 × 480.62
  4. Step 4: Simplify right side
    310.82x = 230,996.64
  5. Step 5: Solve for x
    x = 230,996.64/310.82
  6. Step 6: Final answer
    x = 743.19

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.