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Finding the Third Proportional to 19.73 and 41.95

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Solution

The third proportional to 19.73 and 41.95 is: 89.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.73 : 41.95 = 41.95 : x
  2. Step 2: Convert to fraction form
    19.73/41.95 = 41.95/x
  3. Step 3: Cross multiply
    19.73x = 41.95 × 41.95
  4. Step 4: Simplify right side
    19.73x = 1,760.06
  5. Step 5: Solve for x
    x = 1,760.06/19.73
  6. Step 6: Final answer
    x = 89.19

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.