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Finding the Third Proportional to 85 and 160

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Solution

The third proportional to 85 and 160 is: 301.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    85 : 160 = 160 : x
  2. Step 2: Convert to fraction form
    85/160 = 160/x
  3. Step 3: Cross multiply
    85x = 160 × 160
  4. Step 4: Simplify right side
    85x = 25,600
  5. Step 5: Solve for x
    x = 25,600/85
  6. Step 6: Final answer
    x = 301.18

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Why These Related Problems?

These problems maintain the same ratio (1.88) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.