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Finding the Third Proportional to 13,822 and 21,437

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Solution

The third proportional to 13,822 and 21,437 is: 33,247.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,822 : 21,437 = 21,437 : x
  2. Step 2: Convert to fraction form
    13,822/21,437 = 21,437/x
  3. Step 3: Cross multiply
    13,822x = 21,437 × 21,437
  4. Step 4: Simplify right side
    13,822x = 459,544,969
  5. Step 5: Solve for x
    x = 459,544,969/13,822
  6. Step 6: Final answer
    x = 33,247.36

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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.