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Finding the Third Proportional to 129,867 and 270,126

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Solution

The third proportional to 129,867 and 270,126 is: 561,867.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,867 : 270,126 = 270,126 : x
  2. Step 2: Convert to fraction form
    129,867/270,126 = 270,126/x
  3. Step 3: Cross multiply
    129,867x = 270,126 × 270,126
  4. Step 4: Simplify right side
    129,867x = 72,968,055,876
  5. Step 5: Solve for x
    x = 72,968,055,876/129,867
  6. Step 6: Final answer
    x = 561,867.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.