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Finding the Third Proportional to 50.12 and 79.37

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Solution

The third proportional to 50.12 and 79.37 is: 125.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    50.12 : 79.37 = 79.37 : x
  2. Step 2: Convert to fraction form
    50.12/79.37 = 79.37/x
  3. Step 3: Cross multiply
    50.12x = 79.37 × 79.37
  4. Step 4: Simplify right side
    50.12x = 6,298.84
  5. Step 5: Solve for x
    x = 6,298.84/50.12
  6. Step 6: Final answer
    x = 125.69

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.