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Finding the Third Proportional to 13,696 and 21,125

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Solution

The third proportional to 13,696 and 21,125 is: 32,583.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696 : 21,125 = 21,125 : x
  2. Step 2: Convert to fraction form
    13,696/21,125 = 21,125/x
  3. Step 3: Cross multiply
    13,696x = 21,125 × 21,125
  4. Step 4: Simplify right side
    13,696x = 446,265,625
  5. Step 5: Solve for x
    x = 446,265,625/13,696
  6. Step 6: Final answer
    x = 32,583.65

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.