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Finding the Third Proportional to 118,714 and 280,234

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Solution

The third proportional to 118,714 and 280,234 is: 661,515.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,714 : 280,234 = 280,234 : x
  2. Step 2: Convert to fraction form
    118,714/280,234 = 280,234/x
  3. Step 3: Cross multiply
    118,714x = 280,234 × 280,234
  4. Step 4: Simplify right side
    118,714x = 78,531,094,756
  5. Step 5: Solve for x
    x = 78,531,094,756/118,714
  6. Step 6: Final answer
    x = 661,515.03

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.