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Finding the Third Proportional to 30.75 and 48.22

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Solution

The third proportional to 30.75 and 48.22 is: 75.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 48.22 = 48.22 : x
  2. Step 2: Convert to fraction form
    30.75/48.22 = 48.22/x
  3. Step 3: Cross multiply
    30.75x = 48.22 × 48.22
  4. Step 4: Simplify right side
    30.75x = 2,325.05
  5. Step 5: Solve for x
    x = 2,325.05/30.75
  6. Step 6: Final answer
    x = 75.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.