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Finding the Third Proportional to 9,138 and 18,654

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Solution

The third proportional to 9,138 and 18,654 is: 38,079.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,138 : 18,654 = 18,654 : x
  2. Step 2: Convert to fraction form
    9,138/18,654 = 18,654/x
  3. Step 3: Cross multiply
    9,138x = 18,654 × 18,654
  4. Step 4: Simplify right side
    9,138x = 347,971,716
  5. Step 5: Solve for x
    x = 347,971,716/9,138
  6. Step 6: Final answer
    x = 38,079.64

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.