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Finding the Third Proportional to 87.50 and 192.25

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Solution

The third proportional to 87.50 and 192.25 is: 422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.50 : 192.25 = 192.25 : x
  2. Step 2: Convert to fraction form
    87.50/192.25 = 192.25/x
  3. Step 3: Cross multiply
    87.50x = 192.25 × 192.25
  4. Step 4: Simplify right side
    87.50x = 36,960.06
  5. Step 5: Solve for x
    x = 36,960.06/87.50
  6. Step 6: Final answer
    x = 422.40

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.