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Finding the Third Proportional to 30.87 and 50.73

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Solution

The third proportional to 30.87 and 50.73 is: 83.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.87 : 50.73 = 50.73 : x
  2. Step 2: Convert to fraction form
    30.87/50.73 = 50.73/x
  3. Step 3: Cross multiply
    30.87x = 50.73 × 50.73
  4. Step 4: Simplify right side
    30.87x = 2,573.58
  5. Step 5: Solve for x
    x = 2,573.58/30.87
  6. Step 6: Final answer
    x = 83.38

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.