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Finding the Third Proportional to 319.75 and 685.06

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Solution

The third proportional to 319.75 and 685.06 is: 1,467.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.75 : 685.06 = 685.06 : x
  2. Step 2: Convert to fraction form
    319.75/685.06 = 685.06/x
  3. Step 3: Cross multiply
    319.75x = 685.06 × 685.06
  4. Step 4: Simplify right side
    319.75x = 469,310.63
  5. Step 5: Solve for x
    x = 469,310.63/319.75
  6. Step 6: Final answer
    x = 1,467.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.