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Finding the Third Proportional to 13,674 and 21,423

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Solution

The third proportional to 13,674 and 21,423 is: 33,563.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674 : 21,423 = 21,423 : x
  2. Step 2: Convert to fraction form
    13,674/21,423 = 21,423/x
  3. Step 3: Cross multiply
    13,674x = 21,423 × 21,423
  4. Step 4: Simplify right side
    13,674x = 458,944,929
  5. Step 5: Solve for x
    x = 458,944,929/13,674
  6. Step 6: Final answer
    x = 33,563.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.