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Finding the Third Proportional to 87.13 and 134.94

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Solution

The third proportional to 87.13 and 134.94 is: 208.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.13 : 134.94 = 134.94 : x
  2. Step 2: Convert to fraction form
    87.13/134.94 = 134.94/x
  3. Step 3: Cross multiply
    87.13x = 134.94 × 134.94
  4. Step 4: Simplify right side
    87.13x = 18,208.13
  5. Step 5: Solve for x
    x = 18,208.13/87.13
  6. Step 6: Final answer
    x = 208.99

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.