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Finding the Third Proportional to 18,745 and 39,918

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Solution

The third proportional to 18,745 and 39,918 is: 85,006.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,745 : 39,918 = 39,918 : x
  2. Step 2: Convert to fraction form
    18,745/39,918 = 39,918/x
  3. Step 3: Cross multiply
    18,745x = 39,918 × 39,918
  4. Step 4: Simplify right side
    18,745x = 1,593,446,724
  5. Step 5: Solve for x
    x = 1,593,446,724/18,745
  6. Step 6: Final answer
    x = 85,006.49

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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.