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Finding the Third Proportional to 112.08 and 173.11

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Solution

The third proportional to 112.08 and 173.11 is: 267.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.08 : 173.11 = 173.11 : x
  2. Step 2: Convert to fraction form
    112.08/173.11 = 173.11/x
  3. Step 3: Cross multiply
    112.08x = 173.11 × 173.11
  4. Step 4: Simplify right side
    112.08x = 29,966.86
  5. Step 5: Solve for x
    x = 29,966.86/112.08
  6. Step 6: Final answer
    x = 267.37

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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.