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Finding the Third Proportional to 30.85 and 41.29

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Solution

The third proportional to 30.85 and 41.29 is: 55.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.85 : 41.29 = 41.29 : x
  2. Step 2: Convert to fraction form
    30.85/41.29 = 41.29/x
  3. Step 3: Cross multiply
    30.85x = 41.29 × 41.29
  4. Step 4: Simplify right side
    30.85x = 1,704.95
  5. Step 5: Solve for x
    x = 1,704.95/30.85
  6. Step 6: Final answer
    x = 55.27

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.