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Finding the Third Proportional to 87.88 and 184.94

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Solution

The third proportional to 87.88 and 184.94 is: 389.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.88 : 184.94 = 184.94 : x
  2. Step 2: Convert to fraction form
    87.88/184.94 = 184.94/x
  3. Step 3: Cross multiply
    87.88x = 184.94 × 184.94
  4. Step 4: Simplify right side
    87.88x = 34,201.88
  5. Step 5: Solve for x
    x = 34,201.88/87.88
  6. Step 6: Final answer
    x = 389.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.