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Finding the Third Proportional to 39.95 and 41.73

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Solution

The third proportional to 39.95 and 41.73 is: 43.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    39.95 : 41.73 = 41.73 : x
  2. Step 2: Convert to fraction form
    39.95/41.73 = 41.73/x
  3. Step 3: Cross multiply
    39.95x = 41.73 × 41.73
  4. Step 4: Simplify right side
    39.95x = 1,741.73
  5. Step 5: Solve for x
    x = 1,741.73/39.95
  6. Step 6: Final answer
    x = 43.60

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.