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Finding the Third Proportional to 7,724 and 18,670

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Solution

The third proportional to 7,724 and 18,670 is: 45,128.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,724 : 18,670 = 18,670 : x
  2. Step 2: Convert to fraction form
    7,724/18,670 = 18,670/x
  3. Step 3: Cross multiply
    7,724x = 18,670 × 18,670
  4. Step 4: Simplify right side
    7,724x = 348,568,900
  5. Step 5: Solve for x
    x = 348,568,900/7,724
  6. Step 6: Final answer
    x = 45,128.03

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.