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Finding the Third Proportional to 129,274 and 270,260

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Solution

The third proportional to 129,274 and 270,260 is: 565,005.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,274 : 270,260 = 270,260 : x
  2. Step 2: Convert to fraction form
    129,274/270,260 = 270,260/x
  3. Step 3: Cross multiply
    129,274x = 270,260 × 270,260
  4. Step 4: Simplify right side
    129,274x = 73,040,467,600
  5. Step 5: Solve for x
    x = 73,040,467,600/129,274
  6. Step 6: Final answer
    x = 565,005.09

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.