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Finding the Third Proportional to 319.36 and 488.32

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Solution

The third proportional to 319.36 and 488.32 is: 746.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.36 : 488.32 = 488.32 : x
  2. Step 2: Convert to fraction form
    319.36/488.32 = 488.32/x
  3. Step 3: Cross multiply
    319.36x = 488.32 × 488.32
  4. Step 4: Simplify right side
    319.36x = 238,456.73
  5. Step 5: Solve for x
    x = 238,456.73/319.36
  6. Step 6: Final answer
    x = 746.67

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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.