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Finding the Third Proportional to 18.51 and 40.10

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Solution

The third proportional to 18.51 and 40.10 is: 86.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.51 : 40.10 = 40.10 : x
  2. Step 2: Convert to fraction form
    18.51/40.10 = 40.10/x
  3. Step 3: Cross multiply
    18.51x = 40.10 × 40.10
  4. Step 4: Simplify right side
    18.51x = 1,608.37
  5. Step 5: Solve for x
    x = 1,608.37/18.51
  6. Step 6: Final answer
    x = 86.89

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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.