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Finding the Third Proportional to 18,403 and 38,994

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Solution

The third proportional to 18,403 and 38,994 is: 82,624.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,403 : 38,994 = 38,994 : x
  2. Step 2: Convert to fraction form
    18,403/38,994 = 38,994/x
  3. Step 3: Cross multiply
    18,403x = 38,994 × 38,994
  4. Step 4: Simplify right side
    18,403x = 1,520,532,036
  5. Step 5: Solve for x
    x = 1,520,532,036/18,403
  6. Step 6: Final answer
    x = 82,624.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.