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Finding the Third Proportional to 15,660 and 33,930

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Solution

The third proportional to 15,660 and 33,930 is: 73,515

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,660 : 33,930 = 33,930 : x
  2. Step 2: Convert to fraction form
    15,660/33,930 = 33,930/x
  3. Step 3: Cross multiply
    15,660x = 33,930 × 33,930
  4. Step 4: Simplify right side
    15,660x = 1,151,244,900
  5. Step 5: Solve for x
    x = 1,151,244,900/15,660
  6. Step 6: Final answer
    x = 73,515

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.