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Finding the Third Proportional to 90.88 and 163.19

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Solution

The third proportional to 90.88 and 163.19 is: 293.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.88 : 163.19 = 163.19 : x
  2. Step 2: Convert to fraction form
    90.88/163.19 = 163.19/x
  3. Step 3: Cross multiply
    90.88x = 163.19 × 163.19
  4. Step 4: Simplify right side
    90.88x = 26,630.16
  5. Step 5: Solve for x
    x = 26,630.16/90.88
  6. Step 6: Final answer
    x = 293.04

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.