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Finding the Third Proportional to 129,042 and 277,856

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Solution

The third proportional to 129,042 and 277,856 is: 598,285.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,042 : 277,856 = 277,856 : x
  2. Step 2: Convert to fraction form
    129,042/277,856 = 277,856/x
  3. Step 3: Cross multiply
    129,042x = 277,856 × 277,856
  4. Step 4: Simplify right side
    129,042x = 77,203,956,736
  5. Step 5: Solve for x
    x = 77,203,956,736/129,042
  6. Step 6: Final answer
    x = 598,285.49

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.