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Finding the Third Proportional to 36.64 and 75.21

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Solution

The third proportional to 36.64 and 75.21 is: 154.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.64 : 75.21 = 75.21 : x
  2. Step 2: Convert to fraction form
    36.64/75.21 = 75.21/x
  3. Step 3: Cross multiply
    36.64x = 75.21 × 75.21
  4. Step 4: Simplify right side
    36.64x = 5,655.95
  5. Step 5: Solve for x
    x = 5,655.95/36.64
  6. Step 6: Final answer
    x = 154.37

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.