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Finding the Third Proportional to 31.88 and 51.81

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Solution

The third proportional to 31.88 and 51.81 is: 84.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.88 : 51.81 = 51.81 : x
  2. Step 2: Convert to fraction form
    31.88/51.81 = 51.81/x
  3. Step 3: Cross multiply
    31.88x = 51.81 × 51.81
  4. Step 4: Simplify right side
    31.88x = 2,684.54
  5. Step 5: Solve for x
    x = 2,684.54/31.88
  6. Step 6: Final answer
    x = 84.22

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Why These Related Problems?

These problems maintain the same ratio (1.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.