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Finding the Third Proportional to 87.81 and 126.49

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Solution

The third proportional to 87.81 and 126.49 is: 182.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    87.81 : 126.49 = 126.49 : x
  2. Step 2: Convert to fraction form
    87.81/126.49 = 126.49/x
  3. Step 3: Cross multiply
    87.81x = 126.49 × 126.49
  4. Step 4: Simplify right side
    87.81x = 16,000.27
  5. Step 5: Solve for x
    x = 16,000.27/87.81
  6. Step 6: Final answer
    x = 182.22

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.