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Finding the Third Proportional to 33,838 and 77,989

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Solution

The third proportional to 33,838 and 77,989 is: 179,747.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,838 : 77,989 = 77,989 : x
  2. Step 2: Convert to fraction form
    33,838/77,989 = 77,989/x
  3. Step 3: Cross multiply
    33,838x = 77,989 × 77,989
  4. Step 4: Simplify right side
    33,838x = 6,082,284,121
  5. Step 5: Solve for x
    x = 6,082,284,121/33,838
  6. Step 6: Final answer
    x = 179,747.15

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Why These Related Problems?

These problems maintain the same ratio (2.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.