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Finding the Third Proportional to 319.50 and 488.44

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Solution

The third proportional to 319.50 and 488.44 is: 746.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.50 : 488.44 = 488.44 : x
  2. Step 2: Convert to fraction form
    319.50/488.44 = 488.44/x
  3. Step 3: Cross multiply
    319.50x = 488.44 × 488.44
  4. Step 4: Simplify right side
    319.50x = 238,571.19
  5. Step 5: Solve for x
    x = 238,571.19/319.50
  6. Step 6: Final answer
    x = 746.70

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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.