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Finding the Third Proportional to 39,779 and 85,027

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Solution

The third proportional to 39,779 and 85,027 is: 181,743.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,779 : 85,027 = 85,027 : x
  2. Step 2: Convert to fraction form
    39,779/85,027 = 85,027/x
  3. Step 3: Cross multiply
    39,779x = 85,027 × 85,027
  4. Step 4: Simplify right side
    39,779x = 7,229,590,729
  5. Step 5: Solve for x
    x = 7,229,590,729/39,779
  6. Step 6: Final answer
    x = 181,743.90

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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.