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Finding the Third Proportional to 163.27 and 256.08

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Solution

The third proportional to 163.27 and 256.08 is: 401.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.27 : 256.08 = 256.08 : x
  2. Step 2: Convert to fraction form
    163.27/256.08 = 256.08/x
  3. Step 3: Cross multiply
    163.27x = 256.08 × 256.08
  4. Step 4: Simplify right side
    163.27x = 65,576.01
  5. Step 5: Solve for x
    x = 65,576.01/163.27
  6. Step 6: Final answer
    x = 401.65

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.