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Finding the Third Proportional to 13,865 and 21,509

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Solution

The third proportional to 13,865 and 21,509 is: 33,367.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,865 : 21,509 = 21,509 : x
  2. Step 2: Convert to fraction form
    13,865/21,509 = 21,509/x
  3. Step 3: Cross multiply
    13,865x = 21,509 × 21,509
  4. Step 4: Simplify right side
    13,865x = 462,637,081
  5. Step 5: Solve for x
    x = 462,637,081/13,865
  6. Step 6: Final answer
    x = 33,367.26

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.