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Finding the Third Proportional to 325.75 and 683.75

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Solution

The third proportional to 325.75 and 683.75 is: 1,435.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.75 : 683.75 = 683.75 : x
  2. Step 2: Convert to fraction form
    325.75/683.75 = 683.75/x
  3. Step 3: Cross multiply
    325.75x = 683.75 × 683.75
  4. Step 4: Simplify right side
    325.75x = 467,514.06
  5. Step 5: Solve for x
    x = 467,514.06/325.75
  6. Step 6: Final answer
    x = 1,435.19

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.