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Finding the Third Proportional to 13,604 and 21,642

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Solution

The third proportional to 13,604 and 21,642 is: 34,429.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,604 : 21,642 = 21,642 : x
  2. Step 2: Convert to fraction form
    13,604/21,642 = 21,642/x
  3. Step 3: Cross multiply
    13,604x = 21,642 × 21,642
  4. Step 4: Simplify right side
    13,604x = 468,376,164
  5. Step 5: Solve for x
    x = 468,376,164/13,604
  6. Step 6: Final answer
    x = 34,429.30

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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.