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Finding the Third Proportional to 30.75 and 41.75

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Solution

The third proportional to 30.75 and 41.75 is: 56.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 41.75 = 41.75 : x
  2. Step 2: Convert to fraction form
    30.75/41.75 = 41.75/x
  3. Step 3: Cross multiply
    30.75x = 41.75 × 41.75
  4. Step 4: Simplify right side
    30.75x = 1,743.06
  5. Step 5: Solve for x
    x = 1,743.06/30.75
  6. Step 6: Final answer
    x = 56.68

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.