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Finding the Third Proportional to 41.13 and 69.75

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Solution

The third proportional to 41.13 and 69.75 is: 118.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    41.13 : 69.75 = 69.75 : x
  2. Step 2: Convert to fraction form
    41.13/69.75 = 69.75/x
  3. Step 3: Cross multiply
    41.13x = 69.75 × 69.75
  4. Step 4: Simplify right side
    41.13x = 4,865.06
  5. Step 5: Solve for x
    x = 4,865.06/41.13
  6. Step 6: Final answer
    x = 118.30

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.