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Finding the Third Proportional to 13,209.75 and 19,827

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Solution

The third proportional to 13,209.75 and 19,827 is: 29,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,209.75 : 19,827 = 19,827 : x
  2. Step 2: Convert to fraction form
    13,209.75/19,827 = 19,827/x
  3. Step 3: Cross multiply
    13,209.75x = 19,827 × 19,827
  4. Step 4: Simplify right side
    13,209.75x = 393,109,929
  5. Step 5: Solve for x
    x = 393,109,929/13,209.75
  6. Step 6: Final answer
    x = 29,759.07

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.