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Finding the Third Proportional to 71.50 and 112

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Solution

The third proportional to 71.50 and 112 is: 175.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    71.50 : 112 = 112 : x
  2. Step 2: Convert to fraction form
    71.50/112 = 112/x
  3. Step 3: Cross multiply
    71.50x = 112 × 112
  4. Step 4: Simplify right side
    71.50x = 12,544
  5. Step 5: Solve for x
    x = 12,544/71.50
  6. Step 6: Final answer
    x = 175.44

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.