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Finding the Third Proportional to 31.81 and 50.63

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Solution

The third proportional to 31.81 and 50.63 is: 80.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.81 : 50.63 = 50.63 : x
  2. Step 2: Convert to fraction form
    31.81/50.63 = 50.63/x
  3. Step 3: Cross multiply
    31.81x = 50.63 × 50.63
  4. Step 4: Simplify right side
    31.81x = 2,562.89
  5. Step 5: Solve for x
    x = 2,562.89/31.81
  6. Step 6: Final answer
    x = 80.56

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.