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Finding the Third Proportional to 129,208 and 277,104

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Solution

The third proportional to 129,208 and 277,104 is: 594,286.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,208 : 277,104 = 277,104 : x
  2. Step 2: Convert to fraction form
    129,208/277,104 = 277,104/x
  3. Step 3: Cross multiply
    129,208x = 277,104 × 277,104
  4. Step 4: Simplify right side
    129,208x = 76,786,626,816
  5. Step 5: Solve for x
    x = 76,786,626,816/129,208
  6. Step 6: Final answer
    x = 594,286.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.