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Finding the Third Proportional to 684.75 and 959.25

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Solution

The third proportional to 684.75 and 959.25 is: 1,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    684.75 : 959.25 = 959.25 : x
  2. Step 2: Convert to fraction form
    684.75/959.25 = 959.25/x
  3. Step 3: Cross multiply
    684.75x = 959.25 × 959.25
  4. Step 4: Simplify right side
    684.75x = 920,160.56
  5. Step 5: Solve for x
    x = 920,160.56/684.75
  6. Step 6: Final answer
    x = 1,343.79

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.