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Finding the Third Proportional to 15,775 and 33,980

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Solution

The third proportional to 15,775 and 33,980 is: 73,194.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,775 : 33,980 = 33,980 : x
  2. Step 2: Convert to fraction form
    15,775/33,980 = 33,980/x
  3. Step 3: Cross multiply
    15,775x = 33,980 × 33,980
  4. Step 4: Simplify right side
    15,775x = 1,154,640,400
  5. Step 5: Solve for x
    x = 1,154,640,400/15,775
  6. Step 6: Final answer
    x = 73,194.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.