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Finding the Third Proportional to 18,677 and 40,186

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Solution

The third proportional to 18,677 and 40,186 is: 86,465.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,677 : 40,186 = 40,186 : x
  2. Step 2: Convert to fraction form
    18,677/40,186 = 40,186/x
  3. Step 3: Cross multiply
    18,677x = 40,186 × 40,186
  4. Step 4: Simplify right side
    18,677x = 1,614,914,596
  5. Step 5: Solve for x
    x = 1,614,914,596/18,677
  6. Step 6: Final answer
    x = 86,465.42

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.