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Finding the Third Proportional to 15,777 and 33,018

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Solution

The third proportional to 15,777 and 33,018 is: 69,099.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,777 : 33,018 = 33,018 : x
  2. Step 2: Convert to fraction form
    15,777/33,018 = 33,018/x
  3. Step 3: Cross multiply
    15,777x = 33,018 × 33,018
  4. Step 4: Simplify right side
    15,777x = 1,090,188,324
  5. Step 5: Solve for x
    x = 1,090,188,324/15,777
  6. Step 6: Final answer
    x = 69,099.85

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.