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Finding the Third Proportional to 18,909 and 40,302

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Solution

The third proportional to 18,909 and 40,302 is: 85,898.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,909 : 40,302 = 40,302 : x
  2. Step 2: Convert to fraction form
    18,909/40,302 = 40,302/x
  3. Step 3: Cross multiply
    18,909x = 40,302 × 40,302
  4. Step 4: Simplify right side
    18,909x = 1,624,251,204
  5. Step 5: Solve for x
    x = 1,624,251,204/18,909
  6. Step 6: Final answer
    x = 85,898.31

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.