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Finding the Third Proportional to 112.17 and 163.98

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Solution

The third proportional to 112.17 and 163.98 is: 239.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    112.17 : 163.98 = 163.98 : x
  2. Step 2: Convert to fraction form
    112.17/163.98 = 163.98/x
  3. Step 3: Cross multiply
    112.17x = 163.98 × 163.98
  4. Step 4: Simplify right side
    112.17x = 26,888.63
  5. Step 5: Solve for x
    x = 26,888.63/112.17
  6. Step 6: Final answer
    x = 239.72

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.