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Finding the Third Proportional to 18.31 and 40.19

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Solution

The third proportional to 18.31 and 40.19 is: 88.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.31 : 40.19 = 40.19 : x
  2. Step 2: Convert to fraction form
    18.31/40.19 = 40.19/x
  3. Step 3: Cross multiply
    18.31x = 40.19 × 40.19
  4. Step 4: Simplify right side
    18.31x = 1,615.04
  5. Step 5: Solve for x
    x = 1,615.04/18.31
  6. Step 6: Final answer
    x = 88.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.