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Finding the Third Proportional to 39,789 and 85,805

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Solution

The third proportional to 39,789 and 85,805 is: 185,038.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,789 : 85,805 = 85,805 : x
  2. Step 2: Convert to fraction form
    39,789/85,805 = 85,805/x
  3. Step 3: Cross multiply
    39,789x = 85,805 × 85,805
  4. Step 4: Simplify right side
    39,789x = 7,362,498,025
  5. Step 5: Solve for x
    x = 7,362,498,025/39,789
  6. Step 6: Final answer
    x = 185,038.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.