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Finding the Third Proportional to 36.42 and 77.13

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Solution

The third proportional to 36.42 and 77.13 is: 163.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.42 : 77.13 = 77.13 : x
  2. Step 2: Convert to fraction form
    36.42/77.13 = 77.13/x
  3. Step 3: Cross multiply
    36.42x = 77.13 × 77.13
  4. Step 4: Simplify right side
    36.42x = 5,949.47
  5. Step 5: Solve for x
    x = 5,949.47/36.42
  6. Step 6: Final answer
    x = 163.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.