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Finding the Third Proportional to 112.85 and 173.29

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Solution

The third proportional to 112.85 and 173.29 is: 266.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.85 : 173.29 = 173.29 : x
  2. Step 2: Convert to fraction form
    112.85/173.29 = 173.29/x
  3. Step 3: Cross multiply
    112.85x = 173.29 × 173.29
  4. Step 4: Simplify right side
    112.85x = 30,027.75
  5. Step 5: Solve for x
    x = 30,027.75/112.85
  6. Step 6: Final answer
    x = 266.08

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.