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Finding the Third Proportional to 18.56 and 40.29

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Solution

The third proportional to 18.56 and 40.29 is: 87.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.56 : 40.29 = 40.29 : x
  2. Step 2: Convert to fraction form
    18.56/40.29 = 40.29/x
  3. Step 3: Cross multiply
    18.56x = 40.29 × 40.29
  4. Step 4: Simplify right side
    18.56x = 1,623.21
  5. Step 5: Solve for x
    x = 1,623.21/18.56
  6. Step 6: Final answer
    x = 87.45

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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.