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Finding the Third Proportional to 34.94 and 40.38

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Solution

The third proportional to 34.94 and 40.38 is: 46.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    34.94 : 40.38 = 40.38 : x
  2. Step 2: Convert to fraction form
    34.94/40.38 = 40.38/x
  3. Step 3: Cross multiply
    34.94x = 40.38 × 40.38
  4. Step 4: Simplify right side
    34.94x = 1,630.14
  5. Step 5: Solve for x
    x = 1,630.14/34.94
  6. Step 6: Final answer
    x = 46.66

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Why These Related Problems?

These problems maintain the same ratio (1.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.