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Finding the Third Proportional to 21,902.50 and 33,127

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Solution

The third proportional to 21,902.50 and 33,127 is: 50,103.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,902.50 : 33,127 = 33,127 : x
  2. Step 2: Convert to fraction form
    21,902.50/33,127 = 33,127/x
  3. Step 3: Cross multiply
    21,902.50x = 33,127 × 33,127
  4. Step 4: Simplify right side
    21,902.50x = 1,097,398,129
  5. Step 5: Solve for x
    x = 1,097,398,129/21,902.50
  6. Step 6: Final answer
    x = 50,103.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.