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Finding the Third Proportional to 87,680 and 190,256

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Solution

The third proportional to 87,680 and 190,256 is: 412,834.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,680 : 190,256 = 190,256 : x
  2. Step 2: Convert to fraction form
    87,680/190,256 = 190,256/x
  3. Step 3: Cross multiply
    87,680x = 190,256 × 190,256
  4. Step 4: Simplify right side
    87,680x = 36,197,345,536
  5. Step 5: Solve for x
    x = 36,197,345,536/87,680
  6. Step 6: Final answer
    x = 412,834.69

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.