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Finding the Third Proportional to 312.33 and 496.34

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Solution

The third proportional to 312.33 and 496.34 is: 788.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.33 : 496.34 = 496.34 : x
  2. Step 2: Convert to fraction form
    312.33/496.34 = 496.34/x
  3. Step 3: Cross multiply
    312.33x = 496.34 × 496.34
  4. Step 4: Simplify right side
    312.33x = 246,349.36
  5. Step 5: Solve for x
    x = 246,349.36/312.33
  6. Step 6: Final answer
    x = 788.75

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.