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Finding the Third Proportional to 74.18 and 163.65

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Solution

The third proportional to 74.18 and 163.65 is: 361.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.18 : 163.65 = 163.65 : x
  2. Step 2: Convert to fraction form
    74.18/163.65 = 163.65/x
  3. Step 3: Cross multiply
    74.18x = 163.65 × 163.65
  4. Step 4: Simplify right side
    74.18x = 26,782.09
  5. Step 5: Solve for x
    x = 26,782.09/74.18
  6. Step 6: Final answer
    x = 361.04

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.