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Finding the Third Proportional to 21,078 and 32,529

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Solution

The third proportional to 21,078 and 32,529 is: 50,200.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,078 : 32,529 = 32,529 : x
  2. Step 2: Convert to fraction form
    21,078/32,529 = 32,529/x
  3. Step 3: Cross multiply
    21,078x = 32,529 × 32,529
  4. Step 4: Simplify right side
    21,078x = 1,058,135,841
  5. Step 5: Solve for x
    x = 1,058,135,841/21,078
  6. Step 6: Final answer
    x = 50,200.96

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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.