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Finding the Third Proportional to 18.36 and 40.23

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Solution

The third proportional to 18.36 and 40.23 is: 88.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.36 : 40.23 = 40.23 : x
  2. Step 2: Convert to fraction form
    18.36/40.23 = 40.23/x
  3. Step 3: Cross multiply
    18.36x = 40.23 × 40.23
  4. Step 4: Simplify right side
    18.36x = 1,618.26
  5. Step 5: Solve for x
    x = 1,618.26/18.36
  6. Step 6: Final answer
    x = 88.16

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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.