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Finding the Third Proportional to 17.98 and 40.94

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Solution

The third proportional to 17.98 and 40.94 is: 93.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    17.98 : 40.94 = 40.94 : x
  2. Step 2: Convert to fraction form
    17.98/40.94 = 40.94/x
  3. Step 3: Cross multiply
    17.98x = 40.94 × 40.94
  4. Step 4: Simplify right side
    17.98x = 1,675.68
  5. Step 5: Solve for x
    x = 1,675.68/17.98
  6. Step 6: Final answer
    x = 93.22

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.