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Finding the Third Proportional to 18.43 and 40.06

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Solution

The third proportional to 18.43 and 40.06 is: 87.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.43 : 40.06 = 40.06 : x
  2. Step 2: Convert to fraction form
    18.43/40.06 = 40.06/x
  3. Step 3: Cross multiply
    18.43x = 40.06 × 40.06
  4. Step 4: Simplify right side
    18.43x = 1,605.20
  5. Step 5: Solve for x
    x = 1,605.20/18.43
  6. Step 6: Final answer
    x = 87.09

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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.