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Finding the Third Proportional to 87,640 and 191,296

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Solution

The third proportional to 87,640 and 191,296 is: 417,550.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,640 : 191,296 = 191,296 : x
  2. Step 2: Convert to fraction form
    87,640/191,296 = 191,296/x
  3. Step 3: Cross multiply
    87,640x = 191,296 × 191,296
  4. Step 4: Simplify right side
    87,640x = 36,594,159,616
  5. Step 5: Solve for x
    x = 36,594,159,616/87,640
  6. Step 6: Final answer
    x = 417,550.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.