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Finding the Third Proportional to 129,015 and 273,693

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Solution

The third proportional to 129,015 and 273,693 is: 580,613.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,015 : 273,693 = 273,693 : x
  2. Step 2: Convert to fraction form
    129,015/273,693 = 273,693/x
  3. Step 3: Cross multiply
    129,015x = 273,693 × 273,693
  4. Step 4: Simplify right side
    129,015x = 74,907,858,249
  5. Step 5: Solve for x
    x = 74,907,858,249/129,015
  6. Step 6: Final answer
    x = 580,613.56

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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.