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Finding the Third Proportional to 319.75 and 708.25

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Solution

The third proportional to 319.75 and 708.25 is: 1,568.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.75 : 708.25 = 708.25 : x
  2. Step 2: Convert to fraction form
    319.75/708.25 = 708.25/x
  3. Step 3: Cross multiply
    319.75x = 708.25 × 708.25
  4. Step 4: Simplify right side
    319.75x = 501,618.06
  5. Step 5: Solve for x
    x = 501,618.06/319.75
  6. Step 6: Final answer
    x = 1,568.78

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.