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Finding the Third Proportional to 39,804 and 85,698

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Solution

The third proportional to 39,804 and 85,698 is: 184,507.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,804 : 85,698 = 85,698 : x
  2. Step 2: Convert to fraction form
    39,804/85,698 = 85,698/x
  3. Step 3: Cross multiply
    39,804x = 85,698 × 85,698
  4. Step 4: Simplify right side
    39,804x = 7,344,147,204
  5. Step 5: Solve for x
    x = 7,344,147,204/39,804
  6. Step 6: Final answer
    x = 184,507.77

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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.