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Finding the Third Proportional to 18,489 and 39,894

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Solution

The third proportional to 18,489 and 39,894 is: 86,079.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,489 : 39,894 = 39,894 : x
  2. Step 2: Convert to fraction form
    18,489/39,894 = 39,894/x
  3. Step 3: Cross multiply
    18,489x = 39,894 × 39,894
  4. Step 4: Simplify right side
    18,489x = 1,591,531,236
  5. Step 5: Solve for x
    x = 1,591,531,236/18,489
  6. Step 6: Final answer
    x = 86,079.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.