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Finding the Third Proportional to 683.69 and 1,452.81

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Solution

The third proportional to 683.69 and 1,452.81 is: 3,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.69 : 1,452.81 = 1,452.81 : x
  2. Step 2: Convert to fraction form
    683.69/1,452.81 = 1,452.81/x
  3. Step 3: Cross multiply
    683.69x = 1,452.81 × 1,452.81
  4. Step 4: Simplify right side
    683.69x = 2,110,664.16
  5. Step 5: Solve for x
    x = 2,110,664.16/683.69
  6. Step 6: Final answer
    x = 3,087.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.