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Finding the Third Proportional to 19.97 and 43.31

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Solution

The third proportional to 19.97 and 43.31 is: 93.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.97 : 43.31 = 43.31 : x
  2. Step 2: Convert to fraction form
    19.97/43.31 = 43.31/x
  3. Step 3: Cross multiply
    19.97x = 43.31 × 43.31
  4. Step 4: Simplify right side
    19.97x = 1,875.97
  5. Step 5: Solve for x
    x = 1,875.97/19.97
  6. Step 6: Final answer
    x = 93.95

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.