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Finding the Third Proportional to 73.55 and 112.85

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Solution

The third proportional to 73.55 and 112.85 is: 173.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    73.55 : 112.85 = 112.85 : x
  2. Step 2: Convert to fraction form
    73.55/112.85 = 112.85/x
  3. Step 3: Cross multiply
    73.55x = 112.85 × 112.85
  4. Step 4: Simplify right side
    73.55x = 12,735.48
  5. Step 5: Solve for x
    x = 12,735.48/73.55
  6. Step 6: Final answer
    x = 173.16

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.