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Finding the Third Proportional to 371.75 and 683.88

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Solution

The third proportional to 371.75 and 683.88 is: 1,258.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    371.75 : 683.88 = 683.88 : x
  2. Step 2: Convert to fraction form
    371.75/683.88 = 683.88/x
  3. Step 3: Cross multiply
    371.75x = 683.88 × 683.88
  4. Step 4: Simplify right side
    371.75x = 467,685.02
  5. Step 5: Solve for x
    x = 467,685.02/371.75
  6. Step 6: Final answer
    x = 1,258.06

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Why These Related Problems?

These problems maintain the same ratio (1.84) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.