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Finding the Third Proportional to 13,822.50 and 18,546

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Solution

The third proportional to 13,822.50 and 18,546 is: 24,883.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822.50 : 18,546 = 18,546 : x
  2. Step 2: Convert to fraction form
    13,822.50/18,546 = 18,546/x
  3. Step 3: Cross multiply
    13,822.50x = 18,546 × 18,546
  4. Step 4: Simplify right side
    13,822.50x = 343,954,116
  5. Step 5: Solve for x
    x = 343,954,116/13,822.50
  6. Step 6: Final answer
    x = 24,883.64

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.