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Finding the Third Proportional to 87,325 and 133,495

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Solution

The third proportional to 87,325 and 133,495 is: 204,075.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,325 : 133,495 = 133,495 : x
  2. Step 2: Convert to fraction form
    87,325/133,495 = 133,495/x
  3. Step 3: Cross multiply
    87,325x = 133,495 × 133,495
  4. Step 4: Simplify right side
    87,325x = 17,820,915,025
  5. Step 5: Solve for x
    x = 17,820,915,025/87,325
  6. Step 6: Final answer
    x = 204,075.75

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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.