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Finding the Third Proportional to 18.53 and 40.27

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Solution

The third proportional to 18.53 and 40.27 is: 87.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.53 : 40.27 = 40.27 : x
  2. Step 2: Convert to fraction form
    18.53/40.27 = 40.27/x
  3. Step 3: Cross multiply
    18.53x = 40.27 × 40.27
  4. Step 4: Simplify right side
    18.53x = 1,621.64
  5. Step 5: Solve for x
    x = 1,621.64/18.53
  6. Step 6: Final answer
    x = 87.50

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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.