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Finding the Third Proportional to 13,686 and 29,509

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Solution

The third proportional to 13,686 and 29,509 is: 63,625.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,686 : 29,509 = 29,509 : x
  2. Step 2: Convert to fraction form
    13,686/29,509 = 29,509/x
  3. Step 3: Cross multiply
    13,686x = 29,509 × 29,509
  4. Step 4: Simplify right side
    13,686x = 870,781,081
  5. Step 5: Solve for x
    x = 870,781,081/13,686
  6. Step 6: Final answer
    x = 63,625.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.