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Finding the Third Proportional to 129,039 and 269,904

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Solution

The third proportional to 129,039 and 269,904 is: 564,543.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,039 : 269,904 = 269,904 : x
  2. Step 2: Convert to fraction form
    129,039/269,904 = 269,904/x
  3. Step 3: Cross multiply
    129,039x = 269,904 × 269,904
  4. Step 4: Simplify right side
    129,039x = 72,848,169,216
  5. Step 5: Solve for x
    x = 72,848,169,216/129,039
  6. Step 6: Final answer
    x = 564,543.81

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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.