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Finding the Third Proportional to 18,766 and 40,153

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Solution

The third proportional to 18,766 and 40,153 is: 85,914.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,766 : 40,153 = 40,153 : x
  2. Step 2: Convert to fraction form
    18,766/40,153 = 40,153/x
  3. Step 3: Cross multiply
    18,766x = 40,153 × 40,153
  4. Step 4: Simplify right side
    18,766x = 1,612,263,409
  5. Step 5: Solve for x
    x = 1,612,263,409/18,766
  6. Step 6: Final answer
    x = 85,914.07

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.