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Finding the Third Proportional to 90.89 and 160.97

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Solution

The third proportional to 90.89 and 160.97 is: 285.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    90.89 : 160.97 = 160.97 : x
  2. Step 2: Convert to fraction form
    90.89/160.97 = 160.97/x
  3. Step 3: Cross multiply
    90.89x = 160.97 × 160.97
  4. Step 4: Simplify right side
    90.89x = 25,910.94
  5. Step 5: Solve for x
    x = 25,910.94/90.89
  6. Step 6: Final answer
    x = 285.08

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Why These Related Problems?

These problems maintain the same ratio (1.77) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.