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Finding the Third Proportional to 13,827 and 21,629.25

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Solution

The third proportional to 13,827 and 21,629.25 is: 33,834.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,827 : 21,629.25 = 21,629.25 : x
  2. Step 2: Convert to fraction form
    13,827/21,629.25 = 21,629.25/x
  3. Step 3: Cross multiply
    13,827x = 21,629.25 × 21,629.25
  4. Step 4: Simplify right side
    13,827x = 467,824,455.56
  5. Step 5: Solve for x
    x = 467,824,455.56/13,827
  6. Step 6: Final answer
    x = 33,834.13

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.