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Finding the Third Proportional to 49.12 and 75.34

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Solution

The third proportional to 49.12 and 75.34 is: 115.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49.12 : 75.34 = 75.34 : x
  2. Step 2: Convert to fraction form
    49.12/75.34 = 75.34/x
  3. Step 3: Cross multiply
    49.12x = 75.34 × 75.34
  4. Step 4: Simplify right side
    49.12x = 5,676.75
  5. Step 5: Solve for x
    x = 5,676.75/49.12
  6. Step 6: Final answer
    x = 115.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.