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Finding the Third Proportional to 87,299 and 133,485

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Solution

The third proportional to 87,299 and 133,485 is: 204,105.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,299 : 133,485 = 133,485 : x
  2. Step 2: Convert to fraction form
    87,299/133,485 = 133,485/x
  3. Step 3: Cross multiply
    87,299x = 133,485 × 133,485
  4. Step 4: Simplify right side
    87,299x = 17,818,245,225
  5. Step 5: Solve for x
    x = 17,818,245,225/87,299
  6. Step 6: Final answer
    x = 204,105.95

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.