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Finding the Third Proportional to 18.63 and 40.66

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Solution

The third proportional to 18.63 and 40.66 is: 88.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.63 : 40.66 = 40.66 : x
  2. Step 2: Convert to fraction form
    18.63/40.66 = 40.66/x
  3. Step 3: Cross multiply
    18.63x = 40.66 × 40.66
  4. Step 4: Simplify right side
    18.63x = 1,652.93
  5. Step 5: Solve for x
    x = 1,652.93/18.63
  6. Step 6: Final answer
    x = 88.75

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.