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Finding the Third Proportional to 83.63 and 122.16

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Solution

The third proportional to 83.63 and 122.16 is: 178.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    83.63 : 122.16 = 122.16 : x
  2. Step 2: Convert to fraction form
    83.63/122.16 = 122.16/x
  3. Step 3: Cross multiply
    83.63x = 122.16 × 122.16
  4. Step 4: Simplify right side
    83.63x = 14,922.15
  5. Step 5: Solve for x
    x = 14,922.15/83.63
  6. Step 6: Final answer
    x = 178.44

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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.