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Finding the Third Proportional to 33,089 and 51,275

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Solution

The third proportional to 33,089 and 51,275 is: 79,456.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,089 : 51,275 = 51,275 : x
  2. Step 2: Convert to fraction form
    33,089/51,275 = 51,275/x
  3. Step 3: Cross multiply
    33,089x = 51,275 × 51,275
  4. Step 4: Simplify right side
    33,089x = 2,629,125,625
  5. Step 5: Solve for x
    x = 2,629,125,625/33,089
  6. Step 6: Final answer
    x = 79,456.18

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.