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Finding the Third Proportional to 13,503 and 21,134

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Solution

The third proportional to 13,503 and 21,134 is: 33,077.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,503 : 21,134 = 21,134 : x
  2. Step 2: Convert to fraction form
    13,503/21,134 = 21,134/x
  3. Step 3: Cross multiply
    13,503x = 21,134 × 21,134
  4. Step 4: Simplify right side
    13,503x = 446,645,956
  5. Step 5: Solve for x
    x = 446,645,956/13,503
  6. Step 6: Final answer
    x = 33,077.54

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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.