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Finding the Third Proportional to 13,686 and 21,759

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Solution

The third proportional to 13,686 and 21,759 is: 34,594.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686 : 21,759 = 21,759 : x
  2. Step 2: Convert to fraction form
    13,686/21,759 = 21,759/x
  3. Step 3: Cross multiply
    13,686x = 21,759 × 21,759
  4. Step 4: Simplify right side
    13,686x = 473,454,081
  5. Step 5: Solve for x
    x = 473,454,081/13,686
  6. Step 6: Final answer
    x = 34,594.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.