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Finding the Third Proportional to 9,122 and 18,604

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Solution

The third proportional to 9,122 and 18,604 is: 37,942.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122 : 18,604 = 18,604 : x
  2. Step 2: Convert to fraction form
    9,122/18,604 = 18,604/x
  3. Step 3: Cross multiply
    9,122x = 18,604 × 18,604
  4. Step 4: Simplify right side
    9,122x = 346,108,816
  5. Step 5: Solve for x
    x = 346,108,816/9,122
  6. Step 6: Final answer
    x = 37,942.21

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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.