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Finding the Third Proportional to 13,723 and 21,185

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Solution

The third proportional to 13,723 and 21,185 is: 32,704.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,723 : 21,185 = 21,185 : x
  2. Step 2: Convert to fraction form
    13,723/21,185 = 21,185/x
  3. Step 3: Cross multiply
    13,723x = 21,185 × 21,185
  4. Step 4: Simplify right side
    13,723x = 448,804,225
  5. Step 5: Solve for x
    x = 448,804,225/13,723
  6. Step 6: Final answer
    x = 32,704.53

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.