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Finding the Third Proportional to 51.81 and 82.66

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Solution

The third proportional to 51.81 and 82.66 is: 131.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.81 : 82.66 = 82.66 : x
  2. Step 2: Convert to fraction form
    51.81/82.66 = 82.66/x
  3. Step 3: Cross multiply
    51.81x = 82.66 × 82.66
  4. Step 4: Simplify right side
    51.81x = 6,832.06
  5. Step 5: Solve for x
    x = 6,832.06/51.81
  6. Step 6: Final answer
    x = 131.86

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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.