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Finding the Third Proportional to 683.09 and 1,302.05

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Solution

The third proportional to 683.09 and 1,302.05 is: 2,481.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    683.09 : 1,302.05 = 1,302.05 : x
  2. Step 2: Convert to fraction form
    683.09/1,302.05 = 1,302.05/x
  3. Step 3: Cross multiply
    683.09x = 1,302.05 × 1,302.05
  4. Step 4: Simplify right side
    683.09x = 1,695,326.06
  5. Step 5: Solve for x
    x = 1,695,326.06/683.09
  6. Step 6: Final answer
    x = 2,481.86

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.