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Finding the Third Proportional to 163.69 and 248.91

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Solution

The third proportional to 163.69 and 248.91 is: 378.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    163.69 : 248.91 = 248.91 : x
  2. Step 2: Convert to fraction form
    163.69/248.91 = 248.91/x
  3. Step 3: Cross multiply
    163.69x = 248.91 × 248.91
  4. Step 4: Simplify right side
    163.69x = 61,954.32
  5. Step 5: Solve for x
    x = 61,954.32/163.69
  6. Step 6: Final answer
    x = 378.49

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.