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Finding the Third Proportional to 34.75 and 40

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Solution

The third proportional to 34.75 and 40 is: 46.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.75 : 40 = 40 : x
  2. Step 2: Convert to fraction form
    34.75/40 = 40/x
  3. Step 3: Cross multiply
    34.75x = 40 × 40
  4. Step 4: Simplify right side
    34.75x = 1,600
  5. Step 5: Solve for x
    x = 1,600/34.75
  6. Step 6: Final answer
    x = 46.04

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These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.