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Finding the Third Proportional to 163.55 and 252.14

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Solution

The third proportional to 163.55 and 252.14 is: 388.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.55 : 252.14 = 252.14 : x
  2. Step 2: Convert to fraction form
    163.55/252.14 = 252.14/x
  3. Step 3: Cross multiply
    163.55x = 252.14 × 252.14
  4. Step 4: Simplify right side
    163.55x = 63,574.89
  5. Step 5: Solve for x
    x = 63,574.89/163.55
  6. Step 6: Final answer
    x = 388.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.