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Finding the Third Proportional to 129,240 and 270,192

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Solution

The third proportional to 129,240 and 270,192 is: 564,869.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,240 : 270,192 = 270,192 : x
  2. Step 2: Convert to fraction form
    129,240/270,192 = 270,192/x
  3. Step 3: Cross multiply
    129,240x = 270,192 × 270,192
  4. Step 4: Simplify right side
    129,240x = 73,003,716,864
  5. Step 5: Solve for x
    x = 73,003,716,864/129,240
  6. Step 6: Final answer
    x = 564,869.37

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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.