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Finding the Third Proportional to 163.88 and 251.53

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Solution

The third proportional to 163.88 and 251.53 is: 386.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.88 : 251.53 = 251.53 : x
  2. Step 2: Convert to fraction form
    163.88/251.53 = 251.53/x
  3. Step 3: Cross multiply
    163.88x = 251.53 × 251.53
  4. Step 4: Simplify right side
    163.88x = 63,267.97
  5. Step 5: Solve for x
    x = 63,267.97/163.88
  6. Step 6: Final answer
    x = 386.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.