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Finding the Third Proportional to 36.56 and 55.81

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Solution

The third proportional to 36.56 and 55.81 is: 85.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.56 : 55.81 = 55.81 : x
  2. Step 2: Convert to fraction form
    36.56/55.81 = 55.81/x
  3. Step 3: Cross multiply
    36.56x = 55.81 × 55.81
  4. Step 4: Simplify right side
    36.56x = 3,115.04
  5. Step 5: Solve for x
    x = 3,115.04/36.56
  6. Step 6: Final answer
    x = 85.20

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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.