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Finding the Third Proportional to 51.22 and 83.19

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Solution

The third proportional to 51.22 and 83.19 is: 135.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.22 : 83.19 = 83.19 : x
  2. Step 2: Convert to fraction form
    51.22/83.19 = 83.19/x
  3. Step 3: Cross multiply
    51.22x = 83.19 × 83.19
  4. Step 4: Simplify right side
    51.22x = 6,920.16
  5. Step 5: Solve for x
    x = 6,920.16/51.22
  6. Step 6: Final answer
    x = 135.11

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.