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Finding the Third Proportional to 51.44 and 82.06

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Solution

The third proportional to 51.44 and 82.06 is: 130.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.44 : 82.06 = 82.06 : x
  2. Step 2: Convert to fraction form
    51.44/82.06 = 82.06/x
  3. Step 3: Cross multiply
    51.44x = 82.06 × 82.06
  4. Step 4: Simplify right side
    51.44x = 6,734.25
  5. Step 5: Solve for x
    x = 6,734.25/51.44
  6. Step 6: Final answer
    x = 130.92

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.