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Finding the Third Proportional to 39,077 and 83,805

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Solution

The third proportional to 39,077 and 83,805 is: 179,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,077 : 83,805 = 83,805 : x
  2. Step 2: Convert to fraction form
    39,077/83,805 = 83,805/x
  3. Step 3: Cross multiply
    39,077x = 83,805 × 83,805
  4. Step 4: Simplify right side
    39,077x = 7,023,278,025
  5. Step 5: Solve for x
    x = 7,023,278,025/39,077
  6. Step 6: Final answer
    x = 179,729.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.