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Finding the Third Proportional to 33,876 and 51,063.75

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Solution

The third proportional to 33,876 and 51,063.75 is: 76,972.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,876 : 51,063.75 = 51,063.75 : x
  2. Step 2: Convert to fraction form
    33,876/51,063.75 = 51,063.75/x
  3. Step 3: Cross multiply
    33,876x = 51,063.75 × 51,063.75
  4. Step 4: Simplify right side
    33,876x = 2,607,506,564.06
  5. Step 5: Solve for x
    x = 2,607,506,564.06/33,876
  6. Step 6: Final answer
    x = 76,972.09

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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.