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Finding the Third Proportional to 85.99 and 180.42

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Solution

The third proportional to 85.99 and 180.42 is: 378.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.99 : 180.42 = 180.42 : x
  2. Step 2: Convert to fraction form
    85.99/180.42 = 180.42/x
  3. Step 3: Cross multiply
    85.99x = 180.42 × 180.42
  4. Step 4: Simplify right side
    85.99x = 32,552.05
  5. Step 5: Solve for x
    x = 32,552.05/85.99
  6. Step 6: Final answer
    x = 378.55

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.