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Finding the Third Proportional to 18,806 and 27,319

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Solution

The third proportional to 18,806 and 27,319 is: 39,685.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,806 : 27,319 = 27,319 : x
  2. Step 2: Convert to fraction form
    18,806/27,319 = 27,319/x
  3. Step 3: Cross multiply
    18,806x = 27,319 × 27,319
  4. Step 4: Simplify right side
    18,806x = 746,327,761
  5. Step 5: Solve for x
    x = 746,327,761/18,806
  6. Step 6: Final answer
    x = 39,685.62

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.