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Finding the Third Proportional to 10,821 and 14,133

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Solution

The third proportional to 10,821 and 14,133 is: 18,458.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821 : 14,133 = 14,133 : x
  2. Step 2: Convert to fraction form
    10,821/14,133 = 14,133/x
  3. Step 3: Cross multiply
    10,821x = 14,133 × 14,133
  4. Step 4: Simplify right side
    10,821x = 199,741,689
  5. Step 5: Solve for x
    x = 199,741,689/10,821
  6. Step 6: Final answer
    x = 18,458.71

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.