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Finding the Third Proportional to 14,121 and 20,709.56

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Solution

The third proportional to 14,121 and 20,709.56 is: 30,372.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,121 : 20,709.56 = 20,709.56 : x
  2. Step 2: Convert to fraction form
    14,121/20,709.56 = 20,709.56/x
  3. Step 3: Cross multiply
    14,121x = 20,709.56 × 20,709.56
  4. Step 4: Simplify right side
    14,121x = 428,885,978.94
  5. Step 5: Solve for x
    x = 428,885,978.94/14,121
  6. Step 6: Final answer
    x = 30,372.21

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.